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139916376 = 23335910979
BaseRepresentation
bin10000101011011…
…11010001011000
3100202021111012000
420111233101120
5241304311001
621514521000
73316161315
oct1025572130
9322244160
10139916376
1171a85276
123aa36160
1322cab272
1414821d0c
15c43ba86
hex856f458

139916376 has 64 divisors (see below), whose sum is σ = 395280000. Its totient is φ = 45844128.

The previous prime is 139916353. The next prime is 139916377. The reversal of 139916376 is 673619931.

139916376 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 1 + 637 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139916377) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7255 + ... + 18233.

It is an arithmetic number, because the mean of its divisors is an integer number (6176250).

Almost surely, 2139916376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139916376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197640000).

139916376 is an abundant number, since it is smaller than the sum of its proper divisors (255363624).

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

139916376 is a wasteful number, since it uses less digits than its factorization.

139916376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053 (or 11043 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 139916376 is about 11828.6252793805. The cubic root of 139916376 is about 519.1460045636.

The spelling of 139916376 in words is "one hundred thirty-nine million, nine hundred sixteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4248 6372 10979 12744 21958 32937 43916 65874 87832 98811 131748 197622 263496 296433 395244 592866 647761 790488 1185732 1295522 1943283 2371464 2591044 3886566 5182088 5829849 7773132 11659698 15546264 17489547 23319396 34979094 46638792 69958188 139916376