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137796204 = 223713257491
BaseRepresentation
bin10000011011010…
…01101001101100
3100121021202212010
420031221221230
5240233434304
621401241220
73262151130
oct1015515154
9317252763
10137796204
1170867367
123a193210
1322718220
141442d3c0
15c16d789
hex8369a6c

137796204 has 96 divisors (see below), whose sum is σ = 398071296. Its totient is φ = 36126720.

The previous prime is 137796193. The next prime is 137796221. The reversal of 137796204 is 402697731.

137796204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280399 + ... + 280889.

It is an arithmetic number, because the mean of its divisors is an integer number (4146576).

Almost surely, 2137796204 is an apocalyptic number.

137796204 is a gapful number since it is divisible by the number (14) 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 137796204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199035648).

137796204 is an abundant number, since it is smaller than the sum of its proper divisors (260275092).

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

137796204 is a wasteful number, since it uses less digits than its factorization.

137796204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 137796204 is about 11738.6627858543. The cubic root of 137796204 is about 516.5104167592.

The spelling of 137796204 in words is "one hundred thirty-seven million, seven hundred ninety-six thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 257 273 364 491 514 546 771 982 1028 1092 1473 1542 1799 1964 2946 3084 3341 3437 3598 5397 5892 6383 6682 6874 7196 10023 10311 10794 12766 13364 13748 19149 20046 20622 21588 23387 25532 38298 40092 41244 44681 46774 70161 76596 89362 93548 126187 134043 140322 178724 252374 268086 280644 378561 504748 536172 757122 883309 1514244 1640431 1766618 2649927 3280862 3533236 4921293 5299854 6561724 9842586 10599708 11483017 19685172 22966034 34449051 45932068 68898102 137796204