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139106176 = 2711313187
BaseRepresentation
bin10000100101010…
…01011110000000
3100200202022210121
420102221132000
5241102344201
621445310024
73306245236
oct1022513600
9320668717
10139106176
1171581590
123a705314
1322a86561
1414690956
15c32b9a1
hex84a9780

139106176 has 64 divisors (see below), whose sum is σ = 312168960. Its totient is φ = 61171200.

The previous prime is 139106171. The next prime is 139106213. The reversal of 139106176 is 671601931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1391061763 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139106171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42055 + ... + 45241.

It is an arithmetic number, because the mean of its divisors is an integer number (4877640).

Almost surely, 2139106176 is an apocalyptic number.

139106176 is a gapful number since it is divisible by the number (16) 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 139106176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156084480).

139106176 is an abundant number, since it is smaller than the sum of its proper divisors (173062784).

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

139106176 is a wasteful number, since it uses less digits than its factorization.

139106176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 139106176 is about 11794.3281283844. The cubic root of 139106176 is about 518.1420082421.

The spelling of 139106176 in words is "one hundred thirty-nine million, one hundred six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 992 1364 1408 1984 2728 3187 3968 5456 6374 10912 12748 21824 25496 35057 43648 50992 70114 98797 101984 140228 197594 203968 280456 395188 407936 560912 790376 1086767 1121824 1580752 2173534 2243648 3161504 4347068 4487296 6323008 8694136 12646016 17388272 34776544 69553088 139106176