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139186080 = 253351129101
BaseRepresentation
bin10000100101111…
…00111110100000
3100200220101102000
420102330332200
5241112423310
621451124000
73310030215
oct1022747640
9320811360
10139186080
1171626620
123a743600
1322ab3a37
14146b1b0c
15c3454c0
hex84bcfa0

139186080 has 384 divisors, whose sum is σ = 555206400. Its totient is φ = 32256000.

The previous prime is 139186067. The next prime is 139186097. The reversal of 139186080 is 80681931.

139186080 is a `hidden beast` number, since 1 + 39 + 18 + 608 + 0 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1378030 + ... + 1378130.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 2139186080 is an apocalyptic number.

139186080 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 139186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

139186080 is an abundant number, since it is smaller than the sum of its proper divisors (416020320).

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

139186080 is a wasteful number, since it uses less digits than its factorization.

139186080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 139186080 is about 11797.7150330053. The cubic root of 139186080 is about 518.2411979296.

The spelling of 139186080 in words is "one hundred thirty-nine million, one hundred eighty-six thousand, eighty".