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139508640 = 25325195099
BaseRepresentation
bin10000101000010…
…11101110100000
3100201111202212200
420110023232200
5241203234030
621502053200
73312542505
oct1024135640
9321452780
10139508640
11718269a7
123a87a200
1322b977bb
14147574ac
15c3aad60
hex850bba0

139508640 has 144 divisors (see below), whose sum is σ = 501228000. Its totient is φ = 35237376.

The previous prime is 139508623. The next prime is 139508651. The reversal of 139508640 is 46805931.

139508640 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 0 + 8 + 640 = 666.

139508640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 139508595 and 139508604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24811 + ... + 29909.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2139508640 is an apocalyptic number.

139508640 is a gapful number since it is divisible by the number (10) 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 139508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250614000).

139508640 is an abundant number, since it is smaller than the sum of its proper divisors (361719360).

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

139508640 is a wasteful number, since it uses less digits than its factorization.

139508640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 139508640 is about 11811.3775657203. The cubic root of 139508640 is about 518.6412257537.

The spelling of 139508640 in words is "one hundred thirty-nine million, five hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5099 5472 6840 9120 10198 13680 15297 20396 25495 27360 30594 40792 45891 50990 61188 76485 81584 91782 96881 101980 122376 152970 163168 183564 193762 203960 229455 244752 290643 305940 367128 387524 407920 458910 484405 489504 581286 611880 734256 775048 815840 871929 917820 968810 1162572 1223760 1453215 1468512 1550096 1743858 1835640 1937620 2325144 2447520 2906430 3100192 3487716 3671280 3875240 4359645 4650288 5812860 6975432 7342560 7750480 8719290 9300576 11625720 13950864 15500960 17438580 23251440 27901728 34877160 46502880 69754320 139508640