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137293704 = 2334211873
BaseRepresentation
bin10000010111011…
…10111110001000
3100120100020120000
420023232332020
5240121344304
621342403000
73254656122
oct1013567610
9316306500
10137293704
1170553879
1239b90460
13225a05a2
141433c212
15c0be939
hex82eef88

137293704 has 40 divisors (see below), whose sum is σ = 384551310. Its totient is φ = 45764352.

The previous prime is 137293697. The next prime is 137293727. The reversal of 137293704 is 407392731.

137293704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 94128804 + 43164900 = 9702^2 + 6570^2 .

It is a super-2 number, since 2×1372937042 = 37699122316079232, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 105289 + ... + 106584.

Almost surely, 2137293704 is an apocalyptic number.

It is an amenable number.

137293704 is an abundant number, since it is smaller than the sum of its proper divisors (247257606).

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

137293704 is a wasteful number, since it uses less digits than its factorization.

137293704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211891 (or 211878 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 137293704 is about 11717.2396066650. The cubic root of 137293704 is about 515.8818009416.

The spelling of 137293704 in words is "one hundred thirty-seven million, two hundred ninety-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 211873 423746 635619 847492 1271238 1694984 1906857 2542476 3813714 5084952 5720571 7627428 11441142 15254856 17161713 22882284 34323426 45764568 68646852 137293704