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1061248230 = 23457199851
BaseRepresentation
bin111111010000010…
…101110011100110
32201221220222220000
4333100111303212
54133134420410
6253150122130
735204314110
oct7720256346
92657828800
101061248230
114a5057559
122574b0346
1313bb33343
14a0d323b0
156327ddc0
hex3f415ce6

1061248230 has 160 divisors (see below), whose sum is σ = 3433224960. Its totient is φ = 229780800.

The previous prime is 1061248229. The next prime is 1061248247. The reversal of 1061248230 is 328421601.

1061248230 is a `hidden beast` number, since 1 + 0 + 612 + 48 + 2 + 3 + 0 = 666.

It is a super-2 number, since 2×10612482302 = 2252495611356265800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1061248194 and 1061248203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102805 + ... + 112655.

It is an arithmetic number, because the mean of its divisors is an integer number (21457656).

Almost surely, 21061248230 is an apocalyptic number.

1061248230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061248230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716612480).

1061248230 is an abundant number, since it is smaller than the sum of its proper divisors (2371976730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1061248230 is a wasteful number, since it uses less digits than its factorization.

1061248230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9896 (or 9887 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1061248230 is about 32576.8050919669. The cubic root of 1061248230 is about 1020.0128891105.

Adding to 1061248230 its reverse (328421601), we get a palindrome (1389669831).

The spelling of 1061248230 in words is "one billion, sixty-one million, two hundred forty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 81 90 95 105 114 126 133 135 162 171 189 190 210 266 270 285 315 342 378 399 405 513 567 570 630 665 798 810 855 945 1026 1134 1197 1330 1539 1710 1890 1995 2394 2565 2835 3078 3591 3990 5130 5670 5985 7182 7695 9851 10773 11970 15390 17955 19702 21546 29553 35910 49255 53865 59106 68957 88659 98510 107730 137914 147765 177318 187169 206871 265977 295530 344785 374338 413742 443295 531954 561507 620613 689570 797931 886590 935845 1034355 1123014 1241226 1310183 1329885 1595862 1684521 1861839 1871690 2068710 2620366 2659770 2807535 3103065 3369042 3723678 3930549 3989655 5053563 5585517 5615070 6206130 6550915 7861098 7979310 8422605 9309195 10107126 11171034 11791647 13101830 15160689 16845210 18618390 19652745 23583294 25267815 27927585 30321378 35374941 39305490 50535630 55855170 58958235 70749882 75803445 106124823 117916470 151606890 176874705 212249646 353749410 530624115 1061248230