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116761656 = 2331129101151
BaseRepresentation
bin1101111010110…
…10010000111000
322010201002212210
412331122100320
5214342333111
615330335120
72615312664
oct675322070
9263632783
10116761656
115a9aa840
123312a4a0
131b261c4b
14117158a4
15a3b60a6
hex6f5a438

116761656 has 128 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 33600000.

The previous prime is 116761651. The next prime is 116761663. The reversal of 116761656 is 656167611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116761651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773181 + ... + 773331.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2116761656 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 116761656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

116761656 is an abundant number, since it is smaller than the sum of its proper divisors (218124744).

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

116761656 is a wasteful number, since it uses less digits than its factorization.

116761656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 116761656 is about 10805.6307543799. The cubic root of 116761656 is about 488.7649808880.

The spelling of 116761656 in words is "one hundred sixteen million, seven hundred sixty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 101 116 132 151 174 202 232 264 302 303 319 348 404 453 604 606 638 696 808 906 957 1111 1208 1212 1276 1661 1812 1914 2222 2424 2552 2929 3322 3333 3624 3828 4379 4444 4983 5858 6644 6666 7656 8758 8787 8888 9966 11716 13137 13288 13332 15251 17516 17574 19932 23432 26274 26664 30502 32219 35032 35148 39864 45753 48169 52548 61004 64438 70296 91506 96338 96657 105096 122008 128876 144507 167761 183012 192676 193314 257752 289014 335522 366024 385352 386628 442279 503283 578028 671044 773256 884558 1006566 1156056 1326837 1342088 1769116 2013132 2653674 3538232 4026264 4865069 5307348 9730138 10614696 14595207 19460276 29190414 38920552 58380828 116761656