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115806966 = 231137471009
BaseRepresentation
bin1101110011100…
…01001011110110
322001220121021220
412321301023312
5214121310331
615254051210
72604225432
oct671611366
9261817256
10115806966
115a408540
1232949b06
131acb9542
14115479c2
15a278296
hex6e712f6

115806966 has 64 divisors (see below), whose sum is σ = 265282560. Its totient is φ = 33384960.

The previous prime is 115806959. The next prime is 115806989. The reversal of 115806966 is 669608511.

It is a happy number.

It is a super-2 number, since 2×1158069662 = 26822506748250312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114270 + ... + 115278.

It is an arithmetic number, because the mean of its divisors is an integer number (4145040).

Almost surely, 2115806966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115806966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132641280).

115806966 is an abundant number, since it is smaller than the sum of its proper divisors (149475594).

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

115806966 is a wasteful number, since it uses less digits than its factorization.

115806966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109.

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 115806966 is about 10761.3645045598. The cubic root of 115806966 is about 487.4292210195.

The spelling of 115806966 in words is "one hundred fifteen million, eight hundred six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 37 47 66 74 94 111 141 222 282 407 517 814 1009 1034 1221 1551 1739 2018 2442 3027 3102 3478 5217 6054 10434 11099 19129 22198 33297 37333 38258 47423 57387 66594 74666 94846 111999 114774 142269 223998 284538 410663 521653 821326 1043306 1231989 1564959 1754651 2463978 3129918 3509302 5263953 10527906 19301161 38602322 57903483 115806966