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116002458 = 2321121317241
BaseRepresentation
bin1101110101000…
…00111010011010
322002021112110100
412322200322122
5214144034313
615302200230
72606001405
oct672407232
9262245410
10116002458
115a531400
1232a23076
131b057510
1411598d3c
15a2b6173
hex6ea0e9a

116002458 has 144 divisors (see below), whose sum is σ = 316324008. Its totient is φ = 30412800.

The previous prime is 116002451. The next prime is 116002459. The reversal of 116002458 is 854200611.

116002458 is a `hidden beast` number, since 1 + 1 + 600 + 2 + 4 + 58 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105329169 + 10673289 = 10263^2 + 3267^2 .

It is not an unprimeable number, because it can be changed into a prime (116002451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481218 + ... + 481458.

Almost surely, 2116002458 is an apocalyptic number.

116002458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116002458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158162004).

116002458 is an abundant number, since it is smaller than the sum of its proper divisors (200321550).

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

116002458 is a wasteful number, since it uses less digits than its factorization.

116002458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116002458 is about 10770.4437234498. The cubic root of 116002458 is about 487.7033408139.

The spelling of 116002458 in words is "one hundred sixteen million, two thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 121 143 153 187 198 221 234 241 242 286 306 363 374 429 442 482 561 663 723 726 858 1089 1122 1287 1326 1446 1573 1683 1989 2057 2169 2178 2431 2574 2651 3133 3146 3366 3978 4097 4114 4338 4719 4862 5302 6171 6266 7293 7953 8194 9399 9438 12291 12342 14157 14586 15906 18513 18798 21879 23859 24582 26741 28197 28314 29161 34463 36873 37026 43758 45067 47718 53261 53482 56394 58322 68926 73746 80223 87483 90134 103389 106522 135201 159783 160446 174966 206778 240669 262449 270402 310167 319566 379093 405603 479349 481338 495737 524898 585871 620334 758186 811206 958698 991474 1137279 1171742 1487211 1757613 2274558 2974422 3411837 3515226 4461633 5272839 6444581 6823674 8923266 10545678 12889162 19333743 38667486 58001229 116002458