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116142504 = 233174153131
BaseRepresentation
bin1101110110000…
…11000110101000
322002112122120020
412323003012220
5214213030004
615305200440
72610123612
oct673030650
9262478506
10116142504
115a617645
1232a90120
131b0a619a
14115d3db2
15a2e28d9
hex6ec31a8

116142504 has 128 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 34611200.

The previous prime is 116142493. The next prime is 116142517. The reversal of 116142504 is 405241611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 886519 + ... + 886649.

It is an arithmetic number, because the mean of its divisors is an integer number (2525985).

Almost surely, 2116142504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116142504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

116142504 is an abundant number, since it is smaller than the sum of its proper divisors (207183576).

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

116142504 is a wasteful number, since it uses less digits than its factorization.

116142504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 116142504 is about 10776.9431658518. The cubic root of 116142504 is about 487.8995246875.

The spelling of 116142504 in words is "one hundred sixteen million, one hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 53 68 82 102 106 123 131 136 159 164 204 212 246 262 318 328 393 408 424 492 524 636 697 786 901 984 1048 1272 1394 1572 1802 2091 2173 2227 2703 2788 3144 3604 4182 4346 4454 5371 5406 5576 6519 6681 6943 7208 8364 8692 8908 10742 10812 13038 13362 13886 16113 16728 17384 17816 20829 21484 21624 26076 26724 27772 32226 36941 41658 42968 52152 53448 55544 64452 73882 83316 91307 110823 118031 128904 147764 166632 182614 221646 236062 273921 284663 295528 354093 365228 443292 472124 547842 569326 708186 730456 853989 886584 944248 1095684 1138652 1416372 1707978 2191368 2277304 2832744 3415956 4839271 6831912 9678542 14517813 19357084 29035626 38714168 58071252 116142504