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139797504 = 21032711197
BaseRepresentation
bin10000101010100…
…10010000000000
3100202001110010100
420111102100000
5241242010004
621512202400
73315154620
oct1025222000
9322043110
10139797504
1171a03a30
123a999400
1322c69122
14147d0880
15c416739
hex8552400

139797504 has 264 divisors, whose sum is σ = 505821888. Its totient is φ = 36126720.

The previous prime is 139797503. The next prime is 139797527. The reversal of 139797504 is 405797931.

139797504 is a `hidden beast` number, since 139 + 7 + 9 + 7 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a self number, because there is not a number n which added to its sum of digits gives 139797504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139797503) 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, 709534 + ... + 709730.

It is an arithmetic number, because the mean of its divisors is an integer number (1915992).

Almost surely, 2139797504 is an apocalyptic number.

139797504 is a gapful number since it is divisible by the number (14) 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 139797504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252910944).

139797504 is an abundant number, since it is smaller than the sum of its proper divisors (366024384).

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

139797504 is a wasteful number, since it uses less digits than its factorization.

139797504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 139797504 is about 11823.5994519436. The cubic root of 139797504 is about 518.9989419382.

The spelling of 139797504 in words is "one hundred thirty-nine million, seven hundred ninety-seven thousand, five hundred four".