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138649920 = 2635144427
BaseRepresentation
bin10000100001110…
…10000101000000
3100122220010221020
420100322011000
5240443244140
621431425440
73302335113
oct1020720500
9318803836
10138649920
117129a812
123a525280
1322956996
14145b257a
15c28b6d0
hex843a140

138649920 has 56 divisors (see below), whose sum is σ = 440216544. Its totient is φ = 36973056.

The previous prime is 138649883. The next prime is 138649921. The reversal of 138649920 is 29946831.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138649921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71254 + ... + 73173.

Almost surely, 2138649920 is an apocalyptic number.

138649920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138649920 is an abundant number, since it is smaller than the sum of its proper divisors (301566624).

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

138649920 is a wasteful number, since it uses less digits than its factorization.

138649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144447 (or 144437 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 138649920 is about 11774.9700636562. The cubic root of 138649920 is about 517.5749010585.

The spelling of 138649920 in words is "one hundred thirty-eight million, six hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 144427 288854 433281 577708 722135 866562 1155416 1444270 1733124 2166405 2310832 2888540 3466248 4332810 4621664 5777080 6932496 8665620 9243328 11554160 13864992 17331240 23108320 27729984 34662480 46216640 69324960 138649920