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139231872 = 2734131033
BaseRepresentation
bin10000100110010…
…00001010000000
3100200222201020000
420103020022000
5241120404442
621452120000
73310310553
oct1023101200
9320881200
10139231872
1171657a6a
123a766000
1322acb830
14146c469a
15c353d4c
hex84c8280

139231872 has 160 divisors (see below), whose sum is σ = 446656980. Its totient is φ = 42799104.

The previous prime is 139231861. The next prime is 139231879. The reversal of 139231872 is 278132931.

It can be written as a sum of positive squares in 2 ways, for example, as 137733696 + 1498176 = 11736^2 + 1224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (139231879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134268 + ... + 135300.

Almost surely, 2139231872 is an apocalyptic number.

139231872 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 139231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223328490).

139231872 is an abundant number, since it is smaller than the sum of its proper divisors (307425108).

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

139231872 is a wasteful number, since it uses less digits than its factorization.

139231872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1051 counting only the distinct ones).

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

The square root of 139231872 is about 11799.6555881941. The cubic root of 139231872 is about 518.2980252093.

The spelling of 139231872 in words is "one hundred thirty-nine million, two hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1033 1053 1152 1248 1296 1404 1664 1728 1872 2066 2106 2496 2592 2808 3099 3456 3744 4132 4212 4992 5184 5616 6198 7488 8264 8424 9297 10368 11232 12396 13429 14976 16528 16848 18594 22464 24792 26858 27891 33056 33696 37188 40287 44928 49584 53716 55782 66112 67392 74376 80574 83673 99168 107432 111564 120861 132224 134784 148752 161148 167346 198336 214864 223128 241722 297504 322296 334692 362583 396672 429728 446256 483444 595008 644592 669384 725166 859456 892512 966888 1087749 1190016 1289184 1338768 1450332 1718912 1785024 1933776 2175498 2578368 2677536 2900664 3570048 3867552 4350996 5156736 5355072 5801328 7735104 8701992 10710144 11602656 15470208 17403984 23205312 34807968 46410624 69615936 139231872