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139413510 = 232531107467
BaseRepresentation
bin10000100111101…
…00100000000110
3100201022221101100
420103310200012
5241142213020
621500040530
73311665245
oct1023644006
9321287340
10139413510
1171771485
123a833146
1322b63402
141473095c
15c38ca90
hex84f4806

139413510 has 96 divisors (see below), whose sum is σ = 378473472. Its totient is φ = 35565120.

The previous prime is 139413509. The next prime is 139413517. The reversal of 139413510 is 15314931.

139413510 is a `hidden beast` number, since 139 + 4 + 13 + 510 = 666.

It is a super-2 number, since 2×1394135102 = 38872253541040200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139413517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298297 + ... + 298763.

It is an arithmetic number, because the mean of its divisors is an integer number (3942432).

Almost surely, 2139413510 is an apocalyptic number.

139413510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 139413510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189236736).

139413510 is an abundant number, since it is smaller than the sum of its proper divisors (239059962).

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

139413510 is a wasteful number, since it uses less digits than its factorization.

139413510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 139413510 is about 11807.3498296612. The cubic root of 139413510 is about 518.5233129646.

The spelling of 139413510 in words is "one hundred thirty-nine million, four hundred thirteen thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 107 155 186 214 279 310 321 465 467 535 558 642 930 934 963 1070 1395 1401 1605 1926 2335 2790 2802 3210 3317 4203 4670 4815 6634 7005 8406 9630 9951 14010 14477 16585 19902 21015 28954 29853 33170 42030 43431 49755 49969 59706 72385 86862 99510 99938 130293 144770 149265 149907 217155 249845 260586 298530 299814 434310 449721 499690 651465 749535 899442 1302930 1499070 1549039 2248605 3098078 4497210 4647117 7745195 9294234 13941351 15490390 23235585 27882702 46471170 69706755 139413510