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116760576 = 21334751
BaseRepresentation
bin1101111010110…
…10000000000000
322010201001101210
412331122000000
5214342314301
615330330120
72615306562
oct675320000
9263631353
10116760576
115a9a9a49
1233129940
131b2615ca
1411715332
15a3b5ad6
hex6f5a000

116760576 has 56 divisors (see below), whose sum is σ = 311408064. Its totient is φ = 38912000.

The previous prime is 116760571. The next prime is 116760593. The reversal of 116760576 is 675067611.

It is not an unprimeable number, because it can be changed into a prime (116760571) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22201 + ... + 26951.

Almost surely, 2116760576 is an apocalyptic number.

116760576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116760576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155704032).

116760576 is an abundant number, since it is smaller than the sum of its proper divisors (194647488).

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

116760576 is an frugal number, since it uses more digits than its factorization.

116760576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 116760576 is about 10805.5807803190. The cubic root of 116760576 is about 488.7634739212.

The spelling of 116760576 in words is "one hundred sixteen million, seven hundred sixty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4751 6144 8192 9502 12288 14253 19004 24576 28506 38008 57012 76016 114024 152032 228048 304064 456096 608128 912192 1216256 1824384 2432512 3648768 4865024 7297536 9730048 14595072 19460096 29190144 38920192 58380288 116760576