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139882320 = 24325238447
BaseRepresentation
bin10000101011001…
…10111101010000
3100202012202110200
420111212331100
5241302213240
621514055200
73315660114
oct1025467520
9322182420
10139882320
1171a61726
123aa1a500
1322c98906
1414813744
15c431930
hex8566f50

139882320 has 120 divisors (see below), whose sum is σ = 490254336. Its totient is φ = 35675904.

The previous prime is 139882289. The next prime is 139882331. The reversal of 139882320 is 23288931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12337 + ... + 20783.

Almost surely, 2139882320 is an apocalyptic number.

139882320 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 139882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245127168).

139882320 is an abundant number, since it is smaller than the sum of its proper divisors (350372016).

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

139882320 is a wasteful number, since it uses less digits than its factorization.

139882320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8489 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 139882320 is about 11827.1856331082. The cubic root of 139882320 is about 519.1038806620.

The spelling of 139882320 in words is "one hundred thirty-nine million, eight hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 8447 16560 16894 25341 33788 42235 50682 67576 76023 84470 101364 126705 135152 152046 168940 194281 202728 253410 304092 337880 380115 388562 405456 506820 582843 608184 675760 760230 777124 971405 1013640 1165686 1216368 1520460 1554248 1748529 1942810 2027280 2331372 2914215 3040920 3108496 3497058 3885620 4662744 5828430 6081840 6994116 7771240 8742645 9325488 11656860 13988232 15542480 17485290 23313720 27976464 34970580 46627440 69941160 139882320