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139142160 = 243251491297
BaseRepresentation
bin10000100101100…
…10010000010000
3100200211011011100
420102302100100
5241110022120
621450144400
73306455163
oct1022622020
9320734140
10139142160
11715a6623
123a722100
1322a99a51
141469dada
15c337490
hex84b2410

139142160 has 120 divisors (see below), whose sum is σ = 470784600. Its totient is φ = 36827136.

The previous prime is 139142153. The next prime is 139142221. The reversal of 139142160 is 61241931.

It can be written as a sum of positive squares in 4 ways, for example, as 28387584 + 110754576 = 5328^2 + 10524^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106632 + ... + 107928.

It is an arithmetic number, because the mean of its divisors is an integer number (3923205).

Almost surely, 2139142160 is an apocalyptic number.

139142160 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 139142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235392300).

139142160 is an abundant number, since it is smaller than the sum of its proper divisors (331642440).

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

139142160 is a wasteful number, since it uses less digits than its factorization.

139142160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 139142160 is about 11795.8535087547. The cubic root of 139142160 is about 518.1866820663.

The spelling of 139142160 in words is "one hundred thirty-nine million, one hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 149 180 240 298 360 447 596 720 745 894 1192 1297 1341 1490 1788 2235 2384 2594 2682 2980 3576 3891 4470 5188 5364 5960 6485 6705 7152 7782 8940 10376 10728 11673 11920 12970 13410 15564 17880 19455 20752 21456 23346 25940 26820 31128 35760 38910 46692 51880 53640 58365 62256 77820 93384 103760 107280 116730 155640 186768 193253 233460 311280 386506 466920 579759 773012 933840 966265 1159518 1546024 1739277 1932530 2319036 2898795 3092048 3478554 3865060 4638072 5797590 6957108 7730120 8696385 9276144 11595180 13914216 15460240 17392770 23190360 27828432 34785540 46380720 69571080 139142160