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123913088 = 2713113659
BaseRepresentation
bin1110110001011…
…00001110000000
322122011102210122
413120230032000
5223210204323
620143515412
73033146435
oct730541600
9278142718
10123913088
1163a44812
12355b8b68
131c897070
1412657b8c
15ad29ec8
hex762c380

123913088 has 64 divisors (see below), whose sum is σ = 268606800. Its totient is φ = 56598528.

The previous prime is 123913073. The next prime is 123913109. The reversal of 123913088 is 880319321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187703 + ... + 188361.

Almost surely, 2123913088 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 123913088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134303400).

123913088 is an abundant number, since it is smaller than the sum of its proper divisors (144693712).

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

123913088 is a wasteful number, since it uses less digits than its factorization.

123913088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 123913088 is about 11131.6255776055. The cubic root of 123913088 is about 498.5465631364.

The spelling of 123913088 in words is "one hundred twenty-three million, nine hundred thirteen thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 128 208 226 416 452 659 832 904 1318 1469 1664 1808 2636 2938 3616 5272 5876 7232 8567 10544 11752 14464 17134 21088 23504 34268 42176 47008 68536 74467 84352 94016 137072 148934 188032 274144 297868 548288 595736 968071 1096576 1191472 1936142 2382944 3872284 4765888 7744568 9531776 15489136 30978272 61956544 123913088