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139712328 = 2332721992
BaseRepresentation
bin10000101001111…
…01011101001000
3100201220010021200
420110331131020
5241231243303
621510304200
73314351400
oct1024753510
9321803250
10139712328
1171955a38
123a958060
1322c39422
14147ab800
15c3eb3a3
hex853d748

139712328 has 108 divisors (see below), whose sum is σ = 442388115. Its totient is φ = 39717216.

The previous prime is 139712317. The next prime is 139712411. The reversal of 139712328 is 823217931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 69856164 + 69856164 = 8358^2 + 8358^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8358.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 139712292 and 139712301.

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 26 ways as a sum of consecutive naturals, for example, 701973 + ... + 702171.

Almost surely, 2139712328 is an apocalyptic number.

139712328 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 139712328

139712328 is an abundant number, since it is smaller than the sum of its proper divisors (302675787).

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

139712328 is a wasteful number, since it uses less digits than its factorization.

139712328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 211 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 139712328 is about 11819.9969543143. The cubic root of 139712328 is about 518.8935150799.

The spelling of 139712328 in words is "one hundred thirty-nine million, seven hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 199 252 294 392 398 441 504 588 597 796 882 1176 1194 1393 1592 1764 1791 2388 2786 3528 3582 4179 4776 5572 7164 8358 9751 11144 12537 14328 16716 19502 25074 29253 33432 39004 39601 50148 58506 78008 79202 87759 100296 117012 118803 158404 175518 234024 237606 277207 316808 351036 356409 475212 554414 702072 712818 831621 950424 1108828 1425636 1663242 1940449 2217656 2494863 2851272 3326484 3880898 4989726 5821347 6652968 7761796 9979452 11642694 15523592 17464041 19958904 23285388 34928082 46570776 69856164 139712328