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1042251320 = 2351147101499
BaseRepresentation
bin111110000111110…
…111111000111000
32200122011212000202
4332013313320320
54113304020240
6251231021332
734553663405
oct7607677070
92618155022
101042251320
11495361930
1225106a848
13137c11676
149c5c92ac
156177a315
hex3e1f7e38

1042251320 has 128 divisors (see below), whose sum is σ = 2643840000. Its totient is φ = 366528000.

The previous prime is 1042251311. The next prime is 1042251347. The reversal of 1042251320 is 231522401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1042251292 and 1042251301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2088431 + ... + 2088929.

It is an arithmetic number, because the mean of its divisors is an integer number (20655000).

Almost surely, 21042251320 is an apocalyptic number.

1042251320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042251320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920000).

1042251320 is an abundant number, since it is smaller than the sum of its proper divisors (1601588680).

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

1042251320 is a wasteful number, since it uses less digits than its factorization.

1042251320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1042251320 is about 32283.9173583380. The cubic root of 1042251320 is about 1013.8899493739.

Adding to 1042251320 its reverse (231522401), we get a palindrome (1273773721).

The spelling of 1042251320 in words is "one billion, forty-two million, two hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 101 110 188 202 220 235 376 404 440 470 499 505 517 808 940 998 1010 1034 1111 1880 1996 2020 2068 2222 2495 2585 3992 4040 4136 4444 4747 4990 5170 5489 5555 8888 9494 9980 10340 10978 11110 18988 19960 20680 21956 22220 23453 23735 27445 37976 43912 44440 46906 47470 50399 52217 54890 93812 94940 100798 104434 109780 117265 187624 189880 201596 208868 219560 234530 251995 257983 261085 403192 417736 469060 503990 515966 522170 554389 938120 1007980 1031932 1044340 1108778 1289915 2015960 2063864 2088680 2217556 2368753 2579830 2771945 4435112 4737506 5159660 5543890 9475012 10319320 11087780 11843765 18950024 22175560 23687530 26056283 47375060 52112566 94750120 104225132 130281415 208450264 260562830 521125660 1042251320