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138315696 = 2436834219
BaseRepresentation
bin10000011111010…
…00011110110000
3100122021011110120
420033220132300
5240402100241
621420330240
73266443521
oct1017503660
9318234416
10138315696
11710916a2
123a3a3980
132286a80c
1414526848
15c222666
hex83e87b0

138315696 has 40 divisors (see below), whose sum is σ = 357923520. Its totient is φ = 46026816.

The previous prime is 138315691. The next prime is 138315719. The reversal of 138315696 is 696513831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (138315691) 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 7 ways as a sum of consecutive naturals, for example, 30675 + ... + 34893.

It is an arithmetic number, because the mean of its divisors is an integer number (8948088).

Almost surely, 2138315696 is an apocalyptic number.

138315696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138315696 is an abundant number, since it is smaller than the sum of its proper divisors (219607824).

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

138315696 is a wasteful number, since it uses less digits than its factorization.

138315696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4907 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 138315696 is about 11760.7693625885. The cubic root of 138315696 is about 517.1586845956.

The spelling of 138315696 in words is "one hundred thirty-eight million, three hundred fifteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 683 1366 2049 2732 4098 4219 5464 8196 8438 10928 12657 16392 16876 25314 32784 33752 50628 67504 101256 202512 2881577 5763154 8644731 11526308 17289462 23052616 34578924 46105232 69157848 138315696