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116162560 = 2155709
BaseRepresentation
bin1101110110010…
…00000000000000
322002120200002001
412323020000000
5214214200220
615305433344
72610236233
oct673100000
9262520061
10116162560
115a630718
1232a9b854
131b0b2357
14115db41a
15a2e880a
hex6ec8000

116162560 has 64 divisors (see below), whose sum is σ = 279179100. Its totient is φ = 46399488.

The previous prime is 116162551. The next prime is 116162569. The reversal of 116162560 is 65261611.

It is an interprime number because it is at equal distance from previous prime (116162551) and next prime (116162569).

It can be written as a sum of positive squares in 2 ways, for example, as 107495424 + 8667136 = 10368^2 + 2944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (116162569) 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, 163486 + ... + 164194.

Almost surely, 2116162560 is an apocalyptic number.

116162560 is a gapful number since it is divisible by the number (10) 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 116162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139589550).

116162560 is an abundant number, since it is smaller than the sum of its proper divisors (163016540).

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

116162560 is an frugal number, since it uses more digits than its factorization.

116162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 116162560 is about 10777.8736307307. The cubic root of 116162560 is about 487.9276072852.

The spelling of 116162560 in words is "one hundred sixteen million, one hundred sixty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 709 1024 1280 1418 2048 2560 2836 3545 4096 5120 5672 7090 8192 10240 11344 14180 16384 20480 22688 28360 32768 40960 45376 56720 81920 90752 113440 163840 181504 226880 363008 453760 726016 907520 1452032 1815040 2904064 3630080 5808128 7260160 11616256 14520320 23232512 29040640 58081280 116162560