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116656992 = 25321723827
BaseRepresentation
bin1101111010000…
…00101101100000
322010111210022100
412331000231200
5214331010432
615324210400
72614365564
oct675005540
9263453270
10116656992
115a939141
1233099a00
131b22640a
14116c96a4
15a39507c
hex6f40b60

116656992 has 72 divisors (see below), whose sum is σ = 351272376. Its totient is φ = 36596736.

The previous prime is 116656987. The next prime is 116657003. The reversal of 116656992 is 299656611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7018 + ... + 16809.

It is an arithmetic number, because the mean of its divisors is an integer number (4878783).

Almost surely, 2116656992 is an apocalyptic number.

116656992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116656992 is an abundant number, since it is smaller than the sum of its proper divisors (234615384).

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

116656992 is a wasteful number, since it uses less digits than its factorization.

116656992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23860 (or 23849 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 116656992 is about 10800.7866380185. The cubic root of 116656992 is about 488.6188958557.

The spelling of 116656992 in words is "one hundred sixteen million, six hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 23827 47654 71481 95308 142962 190616 214443 285924 381232 405059 428886 571848 762464 810118 857772 1143696 1215177 1620236 1715544 2287392 2430354 3240472 3431088 3645531 4860708 6480944 6862176 7291062 9721416 12961888 14582124 19442832 29164248 38885664 58328496 116656992