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139327920 = 243251711383
BaseRepresentation
bin10000100110111…
…11100110110000
3100201011120222100
420103133212300
5241131443140
621454140400
73311160564
oct1023374660
9321146870
10139327920
1171713146
123a7b1700
1322b33474
141470b6a4
15c372530
hex84df9b0

139327920 has 120 divisors (see below), whose sum is σ = 495477216. Its totient is φ = 34965504.

The previous prime is 139327913. The next prime is 139327927. The reversal of 139327920 is 29723931.

139327920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (139327913) and next prime (139327927).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (139327927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6549 + ... + 17931.

Almost surely, 2139327920 is an apocalyptic number.

139327920 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 139327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247738608).

139327920 is an abundant number, since it is smaller than the sum of its proper divisors (356149296).

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

139327920 is a wasteful number, since it uses less digits than its factorization.

139327920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11419 (or 11410 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 139327920 is about 11803.7248358304. The cubic root of 139327920 is about 518.4171790718.

The spelling of 139327920 in words is "one hundred thirty-nine million, three hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 11383 12240 22766 34149 45532 56915 68298 91064 102447 113830 136596 170745 182128 193511 204894 227660 273192 341490 387022 409788 455320 512235 546384 580533 682980 774044 819576 910640 967555 1024470 1161066 1365960 1548088 1639152 1741599 1935110 2048940 2322132 2731920 2902665 3096176 3483198 3870220 4097880 4644264 5805330 6966396 7740440 8195760 8707995 9288528 11610660 13932792 15480880 17415990 23221320 27865584 34831980 46442640 69663960 139327920