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136994208 = 25313313541
BaseRepresentation
bin10000010101001…
…01110110100000
3100112210000201120
420022211312200
5240032303313
621332132240
73252301011
oct1012456640
9315700646
10136994208
117036985a
1239a67080
13224c7180
14142a1008
15c060d23
hex82a5da0

136994208 has 96 divisors (see below), whose sum is σ = 399877632. Its totient is φ = 40780800.

The previous prime is 136994203. The next prime is 136994213. The reversal of 136994208 is 802499631.

It is an interprime number because it is at equal distance from previous prime (136994203) and next prime (136994213).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 136994208.

It is not an unprimeable number, because it can be changed into a prime (136994203) by changing a digit.

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, 36918 + ... + 40458.

It is an arithmetic number, because the mean of its divisors is an integer number (4165392).

Almost surely, 2136994208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136994208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199938816).

136994208 is an abundant number, since it is smaller than the sum of its proper divisors (262883424).

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

136994208 is a wasteful number, since it uses less digits than its factorization.

136994208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 136994208 is about 11704.4524861268. The cubic root of 136994208 is about 515.5064085907.

The spelling of 136994208 in words is "one hundred thirty-six million, nine hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 3541 4836 6448 7082 9672 10623 12896 14164 19344 21246 28328 38688 42492 46033 56656 84984 92066 109771 113312 138099 169968 184132 219542 276198 329313 339936 368264 439084 552396 658626 736528 878168 1104792 1317252 1427023 1473056 1756336 2209584 2634504 2854046 3512672 4281069 4419168 5269008 5708092 8562138 10538016 11416184 17124276 22832368 34248552 45664736 68497104 136994208