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116680256 = 2671123677
BaseRepresentation
bin1101111010001…
…10011001000000
322010112222012222
412331012121000
5214332232011
615324510212
72614523450
oct675063100
9263488188
10116680256
115a954670
12330ab368
131b233b94
14116d3d60
15a39bddb
hex6f46640

116680256 has 56 divisors (see below), whose sum is σ = 288682176. Its totient is φ = 45457920.

The previous prime is 116680247. The next prime is 116680303. The reversal of 116680256 is 652086611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1166802562 = 27228564280451072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6911 + ... + 16766.

Almost surely, 2116680256 is an apocalyptic number.

116680256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116680256 is an abundant number, since it is smaller than the sum of its proper divisors (172001920).

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

116680256 is a wasteful number, since it uses less digits than its factorization.

116680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23707 (or 23697 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 116680256 is about 10801.8635429263. The cubic root of 116680256 is about 488.6513741903.

The spelling of 116680256 in words is "one hundred sixteen million, six hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 23677 47354 94708 165739 189416 260447 331478 378832 520894 662956 757664 1041788 1325912 1515328 1823129 2083576 2651824 3646258 4167152 5303648 7292516 8334304 10607296 14585032 16668608 29170064 58340128 116680256