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116982760 = 2352924569
BaseRepresentation
bin1101111100100…
…00001111101000
322011010100011211
412332100033220
5214421422020
615335202504
72620223416
oct676201750
9264110154
10116982760
1160040974
1233216434
131b30b78b
14117722b6
15a40b85a
hex6f903e8

116982760 has 16 divisors (see below), whose sum is σ = 263211300. Its totient is φ = 46793088.

The previous prime is 116982743. The next prime is 116982851. The reversal of 116982760 is 67289611.

It can be written as a sum of positive squares in 2 ways, for example, as 99560484 + 17422276 = 9978^2 + 4174^2 .

It is a super-2 number, since 2×1169827602 = 27369932274435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2924569 = 116982760 / (1 + 1 + 6 + 9 + 8 + 2 + 7 + 6 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1462245 + ... + 1462324.

Almost surely, 2116982760 is an apocalyptic number.

116982760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116982760 is an abundant number, since it is smaller than the sum of its proper divisors (146228540).

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

116982760 is a wasteful number, since it uses less digits than its factorization.

116982760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924580 (or 2924576 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 116982760 is about 10815.8568777513. The cubic root of 116982760 is about 489.0733005709.

The spelling of 116982760 in words is "one hundred sixteen million, nine hundred eighty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2924569 5849138 11698276 14622845 23396552 29245690 58491380 116982760