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136880016 = 24371331337
BaseRepresentation
bin10000010100010…
…01111110010000
3100112120020002020
420022021332100
5240020130031
621325451440
73251314050
oct1012117620
9315506066
10136880016
11702a0a89
1239a10b80
13224871c0
1414271560
15c03c096
hex8289f90

136880016 has 80 divisors (see below), whose sum is σ = 435222144. Its totient is φ = 36099072.

The previous prime is 136879991. The next prime is 136880021. The reversal of 136880016 is 610088631.

It is a super-2 number, since 2×1368800162 = 37472277560320512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 11301 + ... + 20036.

Almost surely, 2136880016 is an apocalyptic number.

136880016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136880016 is an abundant number, since it is smaller than the sum of its proper divisors (298342128).

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

136880016 is a wasteful number, since it uses less digits than its factorization.

136880016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31368 (or 31362 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 136880016 is about 11699.5733255534. The cubic root of 136880016 is about 515.3631347194.

The spelling of 136880016 in words is "one hundred thirty-six million, eight hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 31337 62674 94011 125348 188022 219359 250696 376044 407381 438718 501392 658077 752088 814762 877436 1222143 1316154 1504176 1629524 1754872 2444286 2632308 2851667 3259048 3509744 4888572 5264616 5703334 6518096 8555001 9777144 10529232 11406668 17110002 19554288 22813336 34220004 45626672 68440008 136880016