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139821120 = 2633516183
BaseRepresentation
bin10000101010110…
…00000001000000
3100202002122112000
420111120001000
5241243233440
621512504000
73315313515
oct1025300100
9322078460
10139821120
1171a1a74a
123a9ab000
1322c76aba
14147d930c
15c41d730
hex8558040

139821120 has 112 divisors (see below), whose sum is σ = 493288320. Its totient is φ = 37283328.

The previous prime is 139821119. The next prime is 139821131. The reversal of 139821120 is 21128931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 549 + ... + 16731.

It is an arithmetic number, because the mean of its divisors is an integer number (4404360).

Almost surely, 2139821120 is an apocalyptic number.

139821120 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 139821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246644160).

139821120 is an abundant number, since it is smaller than the sum of its proper divisors (353467200).

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

139821120 is a wasteful number, since it uses less digits than its factorization.

139821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16209 (or 16193 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 139821120 is about 11824.5980904215. The cubic root of 139821120 is about 519.0281651326.

The spelling of 139821120 in words is "one hundred thirty-nine million, eight hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 16183 32366 48549 64732 80915 97098 129464 145647 161830 194196 242745 258928 291294 323660 388392 436941 485490 517856 582588 647320 728235 776784 873882 970980 1035712 1165176 1294640 1456470 1553568 1747764 1941960 2184705 2330352 2589280 2912940 3107136 3495528 3883920 4369410 4660704 5178560 5825880 6991056 7767840 8738820 9321408 11651760 13982112 15535680 17477640 23303520 27964224 34955280 46607040 69910560 139821120