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138925020 = 2235131710477
BaseRepresentation
bin10000100011111…
…01001111011100
3100200102010022010
420101331033130
5241031100040
621441351220
73304562133
oct1021751734
9320363263
10138925020
1171468473
123a638510
1322a21c70
141464491a
15c2e2e80
hex847d3dc

138925020 has 96 divisors (see below), whose sum is σ = 443596608. Its totient is φ = 32182272.

The previous prime is 138925001. The next prime is 138925057. The reversal of 138925020 is 20529831.

It is a happy number.

It is a super-2 number, since 2×1389250202 = 38600322364000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8022 + ... + 18498.

It is an arithmetic number, because the mean of its divisors is an integer number (4620798).

Almost surely, 2138925020 is an apocalyptic number.

138925020 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 138925020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

138925020 is an abundant number, since it is smaller than the sum of its proper divisors (304671588).

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

138925020 is a wasteful number, since it uses less digits than its factorization.

138925020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10517 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 138925020 is about 11786.6458333149. The cubic root of 138925020 is about 517.9169875373.

The spelling of 138925020 in words is "one hundred thirty-eight million, nine hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 10477 13260 20954 31431 41908 52385 62862 104770 125724 136201 157155 178109 209540 272402 314310 356218 408603 534327 544804 628620 681005 712436 817206 890545 1068654 1362010 1634412 1781090 2043015 2137308 2315417 2671635 2724020 3562180 4086030 4630834 5343270 6946251 8172060 9261668 10686540 11577085 13892502 23154170 27785004 34731255 46308340 69462510 138925020