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116657172 = 2234360053
BaseRepresentation
bin1101111010000…
…00110000010100
322010111210120000
412331000300110
5214331012142
615324211300
72614366242
oct675006024
9263453500
10116657172
115a939295
1233099b30
131b226518
14116c9792
15a39514c
hex6f40c14

116657172 has 30 divisors (see below), whose sum is σ = 304965738. Its totient is φ = 38885616.

The previous prime is 116657171. The next prime is 116657197. The reversal of 116657172 is 271756611.

116657172 is a `hidden beast` number, since 1 + 16 + 6 + 571 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110124036 + 6533136 = 10494^2 + 2556^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116657171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 179703 + ... + 180350.

Almost surely, 2116657172 is an apocalyptic number.

116657172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116657172 is an abundant number, since it is smaller than the sum of its proper divisors (188308566).

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

116657172 is a wasteful number, since it uses less digits than its factorization.

116657172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360069 (or 360058 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 116657172 is about 10800.7949707417. The cubic root of 116657172 is about 488.6191471661.

The spelling of 116657172 in words is "one hundred sixteen million, six hundred fifty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 360053 720106 1080159 1440212 2160318 3240477 4320636 6480954 9721431 12961908 19442862 29164293 38885724 58328586 116657172