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137676420 = 223257109267
BaseRepresentation
bin10000011010011…
…00011010000100
3100121001200112200
420031030122010
5240221121140
621354514500
73261141660
oct1015143204
9317050480
10137676420
1170795372
123a135a30
13226a584b
14143db8a0
15c148030
hex834c684

137676420 has 72 divisors (see below), whose sum is σ = 477282624. Its totient is φ = 31468608.

The previous prime is 137676397. The next prime is 137676437. The reversal of 137676420 is 24676731.

137676420 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 7 + 642 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53374 + ... + 55893.

Almost surely, 2137676420 is an apocalyptic number.

137676420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137676420 is an abundant number, since it is smaller than the sum of its proper divisors (339606204).

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

137676420 is a wasteful number, since it uses less digits than its factorization.

137676420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109289 (or 109284 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 137676420 is about 11733.5595622130. The cubic root of 137676420 is about 516.3607086684.

The spelling of 137676420 in words is "one hundred thirty-seven million, six hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 109267 218534 327801 437068 546335 655602 764869 983403 1092670 1311204 1529738 1639005 1966806 2185340 2294607 3059476 3278010 3824345 3933612 4589214 4917015 6556020 6883821 7648690 9178428 9834030 11473035 13767642 15297380 19668060 22946070 27535284 34419105 45892140 68838210 137676420