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137171720 = 23574311393
BaseRepresentation
bin10000010110100…
…01001100001000
3100120010001020002
420023101030020
5240103443340
621340022132
73253640360
oct1013211410
9316101202
10137171720
1170480164
1239b31948
1322559bca
14143099a0
15c098715
hex82d1308

137171720 has 64 divisors (see below), whose sum is σ = 360961920. Its totient is φ = 45932544.

The previous prime is 137171719. The next prime is 137171731. The reversal of 137171720 is 27171731.

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, 6344 + ... + 17736.

It is an arithmetic number, because the mean of its divisors is an integer number (5640030).

Almost surely, 2137171720 is an apocalyptic number.

137171720 is a gapful number since it is divisible by the number (10) 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 137171720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180480960).

137171720 is an abundant number, since it is smaller than the sum of its proper divisors (223790200).

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

137171720 is a wasteful number, since it uses less digits than its factorization.

137171720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11450 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 29.

The square root of 137171720 is about 11712.0331283684. The cubic root of 137171720 is about 515.7289705002.

The spelling of 137171720 in words is "one hundred thirty-seven million, one hundred seventy-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 11393 12040 22786 45572 56965 79751 91144 113930 159502 227860 319004 398755 455720 489899 638008 797510 979798 1595020 1959596 2449495 3190040 3429293 3919192 4898990 6858586 9797980 13717172 17146465 19595960 27434344 34292930 68585860 137171720