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116664132 = 223131743991
BaseRepresentation
bin1101111010000…
…10011101000100
322010112011002210
412331002131010
5214331223012
615324303420
72614425444
oct675023504
9263464083
10116664132
115a943542
12330a1b70
131b229740
14116cc124
15a39723c
hex6f42744

116664132 has 48 divisors (see below), whose sum is σ = 310407552. Its totient is φ = 33784320.

The previous prime is 116664113. The next prime is 116664139. The reversal of 116664132 is 231466611.

It is a super-2 number, since 2×1166641322 = 27221039390626848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116664132.

It is not an unprimeable number, because it can be changed into a prime (116664139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19344 + ... + 24647.

It is an arithmetic number, because the mean of its divisors is an integer number (6466824).

Almost surely, 2116664132 is an apocalyptic number.

116664132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116664132 is an abundant number, since it is smaller than the sum of its proper divisors (193743420).

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

116664132 is a wasteful number, since it uses less digits than its factorization.

116664132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44028 (or 44026 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 116664132 is about 10801.1171644418. The cubic root of 116664132 is about 488.6288643045.

The spelling of 116664132 in words is "one hundred sixteen million, six hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 43991 87982 131973 175964 263946 527892 571883 747847 1143766 1495694 1715649 2243541 2287532 2991388 3431298 4487082 6862596 8974164 9722011 19444022 29166033 38888044 58332066 116664132