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1115253040 = 2451117127587
BaseRepresentation
bin100001001111001…
…0110100100110000
32212201112201120011
41002132112210300
54241001044130
6302355424304
736431331406
oct10236264460
92781481504
101115253040
11522593130
122715b5094
1314a091555
14a818d476
1567d9a52a
hex42796930

1115253040 has 160 divisors (see below), whose sum is σ = 3023806464. Its totient is φ = 378040320.

The previous prime is 1115252969. The next prime is 1115253059. The reversal of 1115253040 is 403525111.

1115253040 = T499 + T500 + ... + T1895.

It is a happy number.

It is a super-3 number, since 3×11152530403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1899627 + ... + 1900213.

Almost surely, 21115253040 is an apocalyptic number.

1115253040 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 1115253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511903232).

1115253040 is an abundant number, since it is smaller than the sum of its proper divisors (1908553424).

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

1115253040 is a wasteful number, since it uses less digits than its factorization.

1115253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1115253040 is about 33395.4044742686. The cubic root of 1115253040 is about 1037.0295663722.

Adding to 1115253040 its reverse (403525111), we get a palindrome (1518778151).

The spelling of 1115253040 in words is "one billion, one hundred fifteen million, two hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 127 136 170 176 187 220 254 272 340 374 440 508 587 635 680 748 880 935 1016 1174 1270 1360 1397 1496 1870 2032 2159 2348 2540 2794 2935 2992 3740 4318 4696 5080 5588 5870 6457 6985 7480 8636 9392 9979 10160 10795 11176 11740 12914 13970 14960 17272 19958 21590 22352 23480 23749 25828 27940 32285 34544 39916 43180 46960 47498 49895 51656 55880 64570 74549 79832 86360 94996 99790 103312 109769 111760 118745 129140 149098 159664 172720 189992 199580 219538 237490 258280 298196 372745 379984 399160 439076 474980 516560 548845 596392 745490 798320 820039 878152 949960 1097690 1192784 1267333 1490980 1640078 1756304 1899920 2195380 2534666 2981960 3280156 4100195 4390760 5069332 5963920 6336665 6560312 8200390 8781520 10138664 12673330 13120624 13940663 16400780 20277328 25346660 27881326 32801560 50693320 55762652 65603120 69703315 101386640 111525304 139406630 223050608 278813260 557626520 1115253040