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139836960 = 25325192269
BaseRepresentation
bin10000101010110…
…11111000100000
3100202010110020200
420111123320200
5241244240320
621513105200
73315410634
oct1025337040
9322113220
10139836960
1171a3063a
123a9b8200
1322c81083
1414800dc4
15c423290
hex855be20

139836960 has 216 divisors, whose sum is σ = 505503180. Its totient is φ = 35195904.

The previous prime is 139836923. The next prime is 139836967. The reversal of 139836960 is 69638931.

It can be written as a sum of positive squares in 2 ways, for example, as 124813584 + 15023376 = 11172^2 + 3876^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (139836967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 519706 + ... + 519974.

Almost surely, 2139836960 is an apocalyptic number.

139836960 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 139836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252751590).

139836960 is an abundant number, since it is smaller than the sum of its proper divisors (365666220).

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

139836960 is a wasteful number, since it uses less digits than its factorization.

139836960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 139836960 is about 11825.2678616596. The cubic root of 139836960 is about 519.0477642120.

The spelling of 139836960 in words is "one hundred thirty-nine million, eight hundred thirty-six thousand, nine hundred sixty".