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139996800 = 2732524861
BaseRepresentation
bin10000101100000…
…10111010000000
3100202102120111200
420112002322000
5241314344200
621520341200
73316644636
oct1026027200
9322376450
10139996800
117202a739
123aa74800
1323008a58
1414843356
15c455800
hex8582e80

139996800 has 144 divisors (see below), whose sum is σ = 499643430. Its totient is φ = 37324800.

The previous prime is 139996783. The next prime is 139996811. The reversal of 139996800 is 8699931.

It can be written as a sum of positive squares in 3 ways, for example, as 128867904 + 11128896 = 11352^2 + 3336^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26370 + ... + 31230.

Almost surely, 2139996800 is an apocalyptic number.

139996800 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 139996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249821715).

139996800 is an abundant number, since it is smaller than the sum of its proper divisors (359646630).

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

139996800 is a wasteful number, since it uses less digits than its factorization.

139996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 139996800 is about 11832.0243407458. The cubic root of 139996800 is about 519.2454539690.

The spelling of 139996800 in words is "one hundred thirty-nine million, nine hundred ninety-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 4861 5760 7200 9600 9722 14400 14583 19444 24305 28800 29166 38888 43749 48610 58332 72915 77776 87498 97220 116664 121525 145830 155552 174996 194440 218745 233328 243050 291660 311104 349992 364575 388880 437490 466656 486100 583320 622208 699984 729150 777760 874980 933312 972200 1093725 1166640 1399968 1458300 1555520 1749960 1866624 1944400 2187450 2333280 2799936 2916600 3111040 3499920 3888800 4374900 4666560 5599872 5833200 6999840 7777600 8749800 9333120 11666400 13999680 15555200 17499600 23332800 27999360 34999200 46665600 69998400 139996800