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116316972 = 2234359003
BaseRepresentation
bin1101110111011…
…01101100101100
322002212111220000
412323231230230
5214234120342
615313024300
72611451352
oct673555454
9262774800
10116316972
115a726732
1232b55090
131b137715
141163b7d2
15a32944c
hex6eedb2c

116316972 has 30 divisors (see below), whose sum is σ = 304076388. Its totient is φ = 38772216.

The previous prime is 116316943. The next prime is 116316979. The reversal of 116316972 is 279613611.

116316972 is a `hidden beast` number, since 11 + 631 + 6 + 9 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (116316979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 179178 + ... + 179825.

Almost surely, 2116316972 is an apocalyptic number.

116316972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116316972 is an abundant number, since it is smaller than the sum of its proper divisors (187759416).

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

116316972 is a wasteful number, since it uses less digits than its factorization.

116316972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359019 (or 359008 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 116316972 is about 10785.0346313769. The cubic root of 116316972 is about 488.1437082359.

The spelling of 116316972 in words is "one hundred sixteen million, three hundred sixteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 359003 718006 1077009 1436012 2154018 3231027 4308036 6462054 9693081 12924108 19386162 29079243 38772324 58158486 116316972