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139962816 = 2634721929
BaseRepresentation
bin10000101011110…
…10100111000000
3100202100211220000
420111322213000
5241312302231
621515520000
73316443600
oct1025724700
9322324800
10139962816
1172007154
123aa59000
1322cc6446
1414834c00
15c44a6e6
hex857a9c0

139962816 has 420 divisors, whose sum is σ = 525551400. Its totient is φ = 36578304.

The previous prime is 139962811. The next prime is 139962821. The reversal of 139962816 is 618269931.

It is a happy number.

139962816 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 628 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (139962811) and next prime (139962821).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139962811) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4826290 + ... + 4826318.

Almost surely, 2139962816 is an apocalyptic number.

139962816 is a gapful number since it is divisible by the number (16) 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 139962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262775700).

139962816 is an abundant number, since it is smaller than the sum of its proper divisors (385588584).

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

139962816 is a wasteful number, since it uses less digits than its factorization.

139962816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 139962816 is about 11830.5881510599. The cubic root of 139962816 is about 519.2034352334.

The spelling of 139962816 in words is "one hundred thirty-nine million, nine hundred sixty-two thousand, eight hundred sixteen".