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136323936 = 25327193559
BaseRepresentation
bin10000010000000…
…10001101100000
3100111111222021200
420020002031200
5234344331221
621305521200
73243506610
oct1010021540
9314458250
10136323936
116aa51211
12397a3200
1322321068
1414168a40
15be7c426
hex8202360

136323936 has 144 divisors (see below), whose sum is σ = 466502400. Its totient is φ = 36889344.

The previous prime is 136323919. The next prime is 136323949. The reversal of 136323936 is 639323631.

136323936 is a `hidden beast` number, since 13 + 632 + 3 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 136323936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36525 + ... + 40083.

It is an arithmetic number, because the mean of its divisors is an integer number (3239600).

Almost surely, 2136323936 is an apocalyptic number.

136323936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136323936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233251200).

136323936 is an abundant number, since it is smaller than the sum of its proper divisors (330178464).

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

136323936 is a wasteful number, since it uses less digits than its factorization.

136323936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3590 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The square root of 136323936 is about 11675.7841706671. The cubic root of 136323936 is about 514.6642937359.

The spelling of 136323936 in words is "one hundred thirty-six million, three hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 3559 4256 4788 5472 6384 7118 9576 10677 12768 14236 19152 21354 24913 28472 32031 38304 42708 49826 56944 64062 67621 74739 85416 99652 113888 128124 135242 149478 170832 199304 202863 224217 256248 270484 298956 341664 398608 405726 448434 473347 512496 540968 597912 608589 797216 811452 896868 946694 1024992 1081936 1195824 1217178 1420041 1622904 1793736 1893388 2163872 2391648 2434356 2840082 3245808 3587472 3786776 4260123 4868712 5680164 6491616 7174944 7573552 8520246 9737424 11360328 15147104 17040492 19474848 22720656 34080984 45441312 68161968 136323936