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139312800 = 253252111759
BaseRepresentation
bin10000100110110…
…11111010100000
3100201010211020100
420103123322200
5241131002200
621453542400
73311065524
oct1023337240
9321124210
10139312800
1171702850
123a7a4a00
1322b29613
1414705d84
15c36cd00
hex84dbea0

139312800 has 216 divisors, whose sum is σ = 536215680. Its totient is φ = 33753600.

The previous prime is 139312799. The next prime is 139312843. The reversal of 139312800 is 8213931.

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 35 ways as a sum of consecutive naturals, for example, 78321 + ... + 80079.

It is an arithmetic number, because the mean of its divisors is an integer number (2482480).

Almost surely, 2139312800 is an apocalyptic number.

139312800 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 139312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

139312800 is an abundant number, since it is smaller than the sum of its proper divisors (396902880).

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

139312800 is a wasteful number, since it uses less digits than its factorization.

139312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 139312800 is about 11803.0843426623. The cubic root of 139312800 is about 518.3984253496.

The spelling of 139312800 in words is "one hundred thirty-nine million, three hundred twelve thousand, eight hundred".