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116402760 = 23325323341
BaseRepresentation
bin1101111000000…
…10101001001000
322010000212120100
412330002221020
5214244342020
615314525400
72612256435
oct674025110
9263025510
10116402760
115a785131
1232b96860
131b167796
1411660b8c
15a344a90
hex6f02a48

116402760 has 48 divisors (see below), whose sum is σ = 378310140. Its totient is φ = 31040640.

The previous prime is 116402743. The next prime is 116402773. The reversal of 116402760 is 67204611.

116402760 is a `hidden beast` number, since 11 + 640 + 2 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102697956 + 13704804 = 10134^2 + 3702^2 .

It is a super-3 number, since 3×1164027603 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 161311 + ... + 162030.

Almost surely, 2116402760 is an apocalyptic number.

116402760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116402760 is an abundant number, since it is smaller than the sum of its proper divisors (261907380).

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

116402760 is a wasteful number, since it uses less digits than its factorization.

116402760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323358 (or 323351 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 116402760 is about 10789.0110760903. The cubic root of 116402760 is about 488.2636866613.

It can be divided in two parts, 11640 and 2760, that added together give a square (14400 = 1202).

The spelling of 116402760 in words is "one hundred sixteen million, four hundred two thousand, seven hundred sixty".

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 323341 646682 970023 1293364 1616705 1940046 2586728 2910069 3233410 3880092 4850115 5820138 6466820 7760184 9700230 11640276 12933640 14550345 19400460 23280552 29100690 38800920 58201380 116402760