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136923984 = 24321755933
BaseRepresentation
bin10000010100101…
…00101101010000
3100112122110101200
420022110231100
5240023031414
621330431200
73251556201
oct1012245520
9315573350
10136923984
117032101a
1239a32500
13224a1212
14142835a8
15c04a109
hex8294b50

136923984 has 60 divisors (see below), whose sum is σ = 405745236. Its totient is φ = 42955776.

The previous prime is 136923979. The next prime is 136924031. The reversal of 136923984 is 489329631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67568400 + 69355584 = 8220^2 + 8328^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25519 + ... + 30414.

Almost surely, 2136923984 is an apocalyptic number.

It is an amenable number.

136923984 is an abundant number, since it is smaller than the sum of its proper divisors (268821252).

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

136923984 is a wasteful number, since it uses less digits than its factorization.

136923984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55964 (or 55955 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 136923984 is about 11701.4522175668. The cubic root of 136923984 is about 515.4183097094.

It can be divided in two parts, 136 and 923984, that added together give a triangular number (924120 = T1359).

The spelling of 136923984 in words is "one hundred thirty-six million, nine hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 55933 111866 167799 223732 335598 447464 503397 671196 894928 950861 1006794 1342392 1901722 2013588 2684784 2852583 3803444 4027176 5705166 7606888 8054352 8557749 11410332 15213776 17115498 22820664 34230996 45641328 68461992 136923984