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137407470 = 2351012449
BaseRepresentation
bin10000011000010…
…10101111101110
3100120120000121120
420030022233232
5240134014340
621345041410
73255641604
oct1014125756
9316500546
10137407470
11706212a2
123a026266
13226102c5
141436b874
15c0e34d0
hex830abee

137407470 has 48 divisors (see below), whose sum is σ = 333817200. Its totient is φ = 36198400.

The previous prime is 137407463. The next prime is 137407511. The reversal of 137407470 is 74704731.

137407470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305806 + ... + 306254.

It is an arithmetic number, because the mean of its divisors is an integer number (6954525).

Almost surely, 2137407470 is an apocalyptic number.

137407470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137407470 is an abundant number, since it is smaller than the sum of its proper divisors (196409730).

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

137407470 is a wasteful number, since it uses less digits than its factorization.

137407470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 137407470 is about 11722.0932431030. The cubic root of 137407470 is about 516.0242537124.

The spelling of 137407470 in words is "one hundred thirty-seven million, four hundred seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 449 505 606 898 1010 1347 1515 2245 2694 3030 4490 6735 10201 13470 20402 30603 45349 51005 61206 90698 102010 136047 153015 226745 272094 306030 453490 680235 1360470 4580249 9160498 13740747 22901245 27481494 45802490 68703735 137407470