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139680576 = 263274101
BaseRepresentation
bin10000101001101…
…01101101000000
3100201211111201200
420110311231000
5241224234301
621505501200
73314160000
oct1024655500
9321744650
10139680576
11719340a2
123a941800
1322c27b39
14147a0000
15c3e1c86
hex8535b40

139680576 has 210 divisors, whose sum is σ = 471694002. Its totient is φ = 39513600.

The previous prime is 139680547. The next prime is 139680613. The reversal of 139680576 is 675086931.

It is a happy number.

139680576 is a `hidden beast` number, since 13 + 9 + 68 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138297600 + 1382976 = 11760^2 + 1176^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1382926 + ... + 1383026.

Almost surely, 2139680576 is an apocalyptic number.

139680576 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 139680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235847001).

139680576 is an abundant number, since it is smaller than the sum of its proper divisors (332013426).

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

139680576 is an equidigital number, since it uses as much as digits as its factorization.

139680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 139680576 is about 11818.6537304382. The cubic root of 139680576 is about 518.8542029795.

The spelling of 139680576 in words is "one hundred thirty-nine million, six hundred eighty thousand, five hundred seventy-six".