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137863104 = 2632331219
BaseRepresentation
bin10000011011110…
…01111111000000
3100121102011121220
420031321333000
5240243104404
621402515040
73262550151
oct1015717700
9317364556
10137863104
1170902655
123a205a80
132273c802
1414449928
15c1834d9
hex8379fc0

137863104 has 56 divisors (see below), whose sum is σ = 380634240. Its totient is φ = 43954944.

The previous prime is 137863039. The next prime is 137863109. The reversal of 137863104 is 401368731.

137863104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137863109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11194 + ... + 20025.

It is an arithmetic number, because the mean of its divisors is an integer number (6797040).

Almost surely, 2137863104 is an apocalyptic number.

It is an amenable number.

137863104 is an abundant number, since it is smaller than the sum of its proper divisors (242771136).

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

137863104 is a wasteful number, since it uses less digits than its factorization.

137863104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31257 (or 31247 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 137863104 is about 11741.5119980350. The cubic root of 137863104 is about 516.5939917666.

The spelling of 137863104 in words is "one hundred thirty-seven million, eight hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 31219 62438 93657 124876 187314 249752 374628 499504 718037 749256 999008 1436074 1498512 1998016 2154111 2872148 2997024 4308222 5744296 5994048 8616444 11488592 17232888 22977184 34465776 45954368 68931552 137863104