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139069728 = 25327101683
BaseRepresentation
bin10000100101000…
…00100100100000
3100200200110210200
420102200210200
5241100212403
621444425200
73306034050
oct1022404440
9320613720
10139069728
1171557166
123a6a8200
1322a72aa5
1414681560
15c320ca3
hex84a0920

139069728 has 144 divisors (see below), whose sum is σ = 457119936. Its totient is φ = 39283200.

The previous prime is 139069687. The next prime is 139069729. The reversal of 139069728 is 827960931.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1390697283 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (139069729) 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 23 ways as a sum of consecutive naturals, for example, 203275 + ... + 203957.

It is an arithmetic number, because the mean of its divisors is an integer number (3174444).

Almost surely, 2139069728 is an apocalyptic number.

139069728 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 139069728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228559968).

139069728 is an abundant number, since it is smaller than the sum of its proper divisors (318050208).

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

139069728 is a wasteful number, since it uses less digits than its factorization.

139069728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 139069728 is about 11792.7828776757. The cubic root of 139069728 is about 518.0967505114.

The spelling of 139069728 in words is "one hundred thirty-nine million, sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 288 303 336 404 504 606 672 683 707 808 909 1008 1212 1366 1414 1616 1818 2016 2049 2121 2424 2732 2828 3232 3636 4098 4242 4781 4848 5464 5656 6147 6363 7272 8196 8484 9562 9696 10928 11312 12294 12726 14343 14544 16392 16968 19124 21856 22624 24588 25452 28686 29088 32784 33936 38248 43029 49176 50904 57372 65568 67872 68983 76496 86058 98352 101808 114744 137966 152992 172116 196704 203616 206949 229488 275932 344232 413898 458976 482881 551864 620847 688464 827796 965762 1103728 1241694 1376928 1448643 1655592 1931524 2207456 2483388 2897286 3311184 3863048 4345929 4966776 5794572 6622368 7726096 8691858 9933552 11589144 15452192 17383716 19867104 23178288 34767432 46356576 69534864 139069728