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139660032 = 2831719563
BaseRepresentation
bin10000101001100…
…00101100000000
3100201210110112210
420110300230000
5241223110112
621505222120
73314043051
oct1024605400
9321713483
10139660032
117191a716
123a931940
1322c1b695
1414796728
15c3dab3c
hex8530b00

139660032 has 144 divisors (see below), whose sum is σ = 415013760. Its totient is φ = 41435136.

The previous prime is 139660019. The next prime is 139660039. The reversal of 139660032 is 230066931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (139660039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247783 + ... + 248345.

It is an arithmetic number, because the mean of its divisors is an integer number (2882040).

Almost surely, 2139660032 is an apocalyptic number.

139660032 is a gapful number since it is divisible by the number (12) 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 139660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207506880).

139660032 is an abundant number, since it is smaller than the sum of its proper divisors (275353728).

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

139660032 is a wasteful number, since it uses less digits than its factorization.

139660032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 139660032 is about 11817.7845639528. The cubic root of 139660032 is about 518.8287643116.

The spelling of 139660032 in words is "one hundred thirty-nine million, six hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 256 272 304 323 384 408 456 544 563 608 646 768 816 912 969 1088 1126 1216 1292 1632 1689 1824 1938 2176 2252 2432 2584 3264 3378 3648 3876 4352 4504 4864 5168 6528 6756 7296 7752 9008 9571 10336 10697 13056 13512 14592 15504 18016 19142 20672 21394 27024 28713 31008 32091 36032 38284 41344 42788 54048 57426 62016 64182 72064 76568 82688 85576 108096 114852 124032 128364 144128 153136 171152 181849 216192 229704 248064 256728 306272 342304 363698 432384 459408 513456 545547 612544 684608 727396 918816 1026912 1091094 1225088 1369216 1454792 1837632 2053824 2182188 2450176 2738432 2909584 3675264 4107648 4364376 5819168 7350528 8215296 8728752 11638336 17457504 23276672 34915008 46553344 69830016 139660032