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116927640 = 23325324799
BaseRepresentation
bin1101111100000…
…10110010011000
322011000112120100
412332002302120
5214413141030
615334055400
72616603624
oct676026230
9264015510
10116927640
1160003515
12331aa560
131b2bc66b
141175a184
15a3ea360
hex6f82c98

116927640 has 48 divisors (see below), whose sum is σ = 380016000. Its totient is φ = 31180608.

The previous prime is 116927617. The next prime is 116927647. The reversal of 116927640 is 46729611.

116927640 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 2 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 116927595 and 116927604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116927647) 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 11 ways as a sum of consecutive naturals, for example, 162040 + ... + 162759.

It is an arithmetic number, because the mean of its divisors is an integer number (7917000).

Almost surely, 2116927640 is an apocalyptic number.

116927640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116927640 is an abundant number, since it is smaller than the sum of its proper divisors (263088360).

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

116927640 is a wasteful number, since it uses less digits than its factorization.

116927640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324816 (or 324809 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 116927640 is about 10813.3084668847. The cubic root of 116927640 is about 488.9964745628.

The spelling of 116927640 in words is "one hundred sixteen million, nine hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 324799 649598 974397 1299196 1623995 1948794 2598392 2923191 3247990 3897588 4871985 5846382 6495980 7795176 9743970 11692764 12991960 14615955 19487940 23385528 29231910 38975880 58463820 116927640