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139684608 = 283372887
BaseRepresentation
bin10000101001101…
…10101100000000
3100201211201021000
420110312230000
5241224401413
621505532000
73314204520
oct1024665400
9321751230
10139684608
1171937128
123a944000
1322c2991b
14147a1680
15c3e3073
hex8536b00

139684608 has 144 divisors (see below), whose sum is σ = 472245760. Its totient is φ = 39896064.

The previous prime is 139684591. The next prime is 139684613. The reversal of 139684608 is 806486931.

139684608 is a `hidden beast` number, since 1 + 39 + 6 + 8 + 4 + 608 = 666.

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

It is a super-2 number, since 2×1396846082 = 39023579424227328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46941 + ... + 49827.

Almost surely, 2139684608 is an apocalyptic number.

139684608 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 139684608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236122880).

139684608 is an abundant number, since it is smaller than the sum of its proper divisors (332561152).

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

139684608 is an equidigital number, since it uses as much as digits as its factorization.

139684608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 139684608 is about 11818.8243070113. The cubic root of 139684608 is about 518.8591953225.

The spelling of 139684608 in words is "one hundred thirty-nine million, six hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 2887 3024 3456 4032 5376 5774 6048 6912 8064 8661 11548 12096 16128 17322 20209 23096 24192 25983 34644 40418 46192 48384 51966 60627 69288 77949 80836 92384 103932 121254 138576 155898 161672 181881 184768 207864 242508 277152 311796 323344 363762 369536 415728 485016 545643 554304 623592 646688 727524 739072 831456 970032 1091286 1108608 1247184 1293376 1455048 1662912 1940064 2182572 2217216 2494368 2586752 2910096 3325824 3880128 4365144 4988736 5173504 5820192 6651648 7760256 8730288 9977472 11640384 15520512 17460576 19954944 23280768 34921152 46561536 69842304 139684608