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139776900 = 223525359149
BaseRepresentation
bin10000101010011…
…01001110000100
3100202000101212020
420111031032010
5241240330100
621511523140
73315040554
oct1025151604
9322011766
10139776900
117199a4aa
123a9894b0
1322c5c933
14147c7164
15c4105a0
hex854d384

139776900 has 144 divisors (see below), whose sum is σ = 421848000. Its totient is φ = 35709440.

The previous prime is 139776893. The next prime is 139776947. The reversal of 139776900 is 9677931.

It is a super-2 number, since 2×1397769002 = 39075163547220000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 938026 + ... + 938174.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2139776900 is an apocalyptic number.

139776900 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 139776900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924000).

139776900 is an abundant number, since it is smaller than the sum of its proper divisors (282071100).

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

139776900 is a wasteful number, since it uses less digits than its factorization.

139776900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 139776900 is about 11822.7281115655. The cubic root of 139776900 is about 518.9734432007.

The spelling of 139776900 in words is "one hundred thirty-nine million, seven hundred seventy-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 59 60 75 100 106 118 149 150 159 177 212 236 265 295 298 300 318 354 447 530 590 596 636 708 745 795 885 894 1060 1180 1325 1475 1490 1590 1770 1788 2235 2650 2950 2980 3127 3180 3540 3725 3975 4425 4470 5300 5900 6254 7450 7897 7950 8791 8850 8940 9381 11175 12508 14900 15635 15794 15900 17582 17700 18762 22350 23691 26373 31270 31588 35164 37524 39485 43955 44700 46905 47382 52746 62540 78175 78970 87910 93810 94764 105492 118455 131865 156350 157940 175820 187620 197425 219775 234525 236910 263730 312700 394850 439550 465923 469050 473820 527460 592275 659325 789700 879100 931846 938100 1184550 1318650 1397769 1863692 2329615 2369100 2637300 2795538 4659230 5591076 6988845 9318460 11648075 13977690 23296150 27955380 34944225 46592300 69888450 139776900