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139438080 = 2113251789
BaseRepresentation
bin10000100111110…
…10100000000000
3100201101012002100
420103322200000
5241144004310
621500350400
73312130005
oct1023724000
9321335070
10139438080
1171788991
123a845400
1322b71652
14147398ac
15c394ec0
hex84fa800

139438080 has 288 divisors, whose sum is σ = 517444200. Its totient is φ = 34603008.

The previous prime is 139438073. The next prime is 139438087. The reversal of 139438080 is 80834931.

It is an interprime number because it is at equal distance from previous prime (139438073) and next prime (139438087).

It can be written as a sum of positive squares in 4 ways, for example, as 109495296 + 29942784 = 10464^2 + 5472^2 .

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 not an unprimeable number, because it can be changed into a prime (139438087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566676 + ... + 1566764.

Almost surely, 2139438080 is an apocalyptic number.

139438080 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 139438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258722100).

139438080 is an abundant number, since it is smaller than the sum of its proper divisors (378006120).

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

139438080 is a wasteful number, since it uses less digits than its factorization.

139438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 139438080 is about 11808.3902374540. The cubic root of 139438080 is about 518.5537723977.

The spelling of 139438080 in words is "one hundred thirty-nine million, four hundred thirty-eight thousand, eighty".