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139785696 = 25331731307
BaseRepresentation
bin10000101010011…
…11010111100000
3100202000211221000
420111033113200
5241241120241
621512032000
73315105321
oct1025172740
9322024830
10139785696
11719a6076
123a992600
1322c6393b
14147ca448
15c412eb6
hex854f5e0

139785696 has 192 divisors, whose sum is σ = 447068160. Its totient is φ = 42301440.

The previous prime is 139785671. The next prime is 139785721. The reversal of 139785696 is 696587931.

139785696 is a `hidden beast` number, since 1 + 3 + 9 + 78 + 569 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (139785671) and next prime (139785721).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2449440) is a multiple of the sum of its prime divisors (360).

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 31 ways as a sum of consecutive naturals, for example, 455175 + ... + 455481.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2139785696 is an apocalyptic number.

139785696 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 139785696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

139785696 is an abundant number, since it is smaller than the sum of its proper divisors (307282464).

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

139785696 is a wasteful number, since it uses less digits than its factorization.

139785696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 139785696 is about 11823.1001010733. The cubic root of 139785696 is about 518.9843291068.

The spelling of 139785696 in words is "one hundred thirty-nine million, seven hundred eighty-five thousand, six hundred ninety-six".