Search a number
-
+
139186920 = 23351279133
BaseRepresentation
bin10000100101111…
…01001011101000
3100200220102120010
420102331023220
5241112440140
621451131520
73310032525
oct1022751350
9320812503
10139186920
1171627214
123a743ba0
1322ab4232
14146b214c
15c345880
hex84bd2e8

139186920 has 64 divisors (see below), whose sum is σ = 420894720. Its totient is φ = 36820224.

The previous prime is 139186919. The next prime is 139186963. The reversal of 139186920 is 29681931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10674 + ... + 19806.

It is an arithmetic number, because the mean of its divisors is an integer number (6576480).

Almost surely, 2139186920 is an apocalyptic number.

139186920 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 139186920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210447360).

139186920 is an abundant number, since it is smaller than the sum of its proper divisors (281707800).

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

139186920 is a wasteful number, since it uses less digits than its factorization.

139186920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9274 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 139186920 is about 11797.7506330656. The cubic root of 139186920 is about 518.2422404709.

The spelling of 139186920 in words is "one hundred thirty-nine million, one hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 9133 15240 18266 27399 36532 45665 54798 73064 91330 109596 136995 182660 219192 273990 365320 547980 1095960 1159891 2319782 3479673 4639564 5799455 6959346 9279128 11598910 13918692 17398365 23197820 27837384 34796730 46395640 69593460 139186920