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137104300 = 225210491307
BaseRepresentation
bin10000010110000…
…00101110101100
3100112222121202001
420023000232230
5240044314200
621334342044
73253236664
oct1013005654
9315877661
10137104300
1170434543
1239aba924
1322535308
14142cd1a4
15c08376a
hex82c0bac

137104300 has 36 divisors (see below), whose sum is σ = 298027800. Its totient is φ = 54747520.

The previous prime is 137104283. The next prime is 137104307. The reversal of 137104300 is 3401731.

It is not an unprimeable number, because it can be changed into a prime (137104307) 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 11 ways as a sum of consecutive naturals, for example, 104247 + ... + 105553.

It is an arithmetic number, because the mean of its divisors is an integer number (8278550).

Almost surely, 2137104300 is an apocalyptic number.

137104300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137104300 is an abundant number, since it is smaller than the sum of its proper divisors (160923500).

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

137104300 is a wasteful number, since it uses less digits than its factorization.

137104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 137104300 is about 11709.1545382235. The cubic root of 137104300 is about 515.6444629323.

The spelling of 137104300 in words is "one hundred thirty-seven million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1049 1307 2098 2614 4196 5228 5245 6535 10490 13070 20980 26140 26225 32675 52450 65350 104900 130700 1371043 2742086 5484172 6855215 13710430 27420860 34276075 68552150 137104300