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137302404 = 223174491499
BaseRepresentation
bin10000010111100…
…01000110000100
3100120100200111020
420023301012010
5240122134104
621342511140
73255023361
oct1013610604
9316320436
10137302404
117055a368
1239b954b0
13225a4535
1414341468
15c0c22d9
hex82f1184

137302404 has 48 divisors (see below), whose sum is σ = 340200000. Its totient is φ = 42950656.

The previous prime is 137302357. The next prime is 137302411. The reversal of 137302404 is 404203731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90847 + ... + 92345.

It is an arithmetic number, because the mean of its divisors is an integer number (7087500).

Almost surely, 2137302404 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 137302404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170100000).

137302404 is an abundant number, since it is smaller than the sum of its proper divisors (202897596).

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

137302404 is a wasteful number, since it uses less digits than its factorization.

137302404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 137302404 is about 11717.6108486329. The cubic root of 137302404 is about 515.8926974764.

The spelling of 137302404 in words is "one hundred thirty-seven million, three hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 449 898 1347 1499 1796 2694 2998 4497 5388 5996 7633 8994 15266 17988 22899 25483 30532 45798 50966 76449 91596 101932 152898 305796 673051 1346102 2019153 2692204 4038306 8076612 11441867 22883734 34325601 45767468 68651202 137302404