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139829328 = 2434234691
BaseRepresentation
bin10000101010110…
…10000001010000
3100202010001210000
420111122001100
5241244014303
621513010000
73315346452
oct1025320120
9322101700
10139829328
1171a25931
123a9b3900
1322c7a762
14147dc2d2
15c420da3
hex855a050

139829328 has 100 divisors (see below), whose sum is σ = 422392608. Its totient is φ = 44573760.

The previous prime is 139829321. The next prime is 139829359. The reversal of 139829328 is 823928931.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139829321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27463 + ... + 32153.

Almost surely, 2139829328 is an apocalyptic number.

139829328 is a gapful number since it is divisible by the number (18) 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 139829328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211196304).

139829328 is an abundant number, since it is smaller than the sum of its proper divisors (282563280).

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

139829328 is a wasteful number, since it uses less digits than its factorization.

139829328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4719 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 139829328 is about 11824.9451584352. The cubic root of 139829328 is about 519.0383212040.

The spelling of 139829328 in words is "one hundred thirty-nine million, eight hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4691 4968 7452 9382 9936 14073 14904 18764 28146 29808 37528 42219 56292 75056 84438 107893 112584 126657 168876 215786 225168 253314 323679 337752 379971 431572 506628 647358 675504 759942 863144 971037 1013256 1294716 1519884 1726288 1942074 2026512 2589432 2913111 3039768 3884148 5178864 5826222 6079536 7768296 8739333 11652444 15536592 17478666 23304888 34957332 46609776 69914664 139829328