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139806720 = 2113253741
BaseRepresentation
bin10000101010101…
…00100000000000
3100202001220202200
420111110200000
5241242303340
621512313200
73315223524
oct1025244000
9322056680
10139806720
1171a0a949
123a9a2800
1322c70391
14147d3d84
15c419330
hex8554800

139806720 has 288 divisors, whose sum is σ = 509778360. Its totient is φ = 35389440.

The previous prime is 139806713. The next prime is 139806727. The reversal of 139806720 is 27608931.

It is an interprime number because it is at equal distance from previous prime (139806713) and next prime (139806727).

It can be written as a sum of positive squares in 4 ways, for example, as 105513984 + 34292736 = 10272^2 + 5856^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139806727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3409900 + ... + 3409940.

Almost surely, 2139806720 is an apocalyptic number.

139806720 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 139806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254889180).

139806720 is an abundant number, since it is smaller than the sum of its proper divisors (369971640).

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

139806720 is a wasteful number, since it uses less digits than its factorization.

139806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 139806720 is about 11823.9891745553. The cubic root of 139806720 is about 519.0103465032.

The spelling of 139806720 in words is "one hundred thirty-nine million, eight hundred six thousand, seven hundred twenty".