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123116064 = 2535992141
BaseRepresentation
bin1110101011010…
…01101000100000
322120122221111020
413111221220200
5223004203224
620114445440
73023316651
oct725515040
9276587436
10123116064
116354aa15
1235293880
131c678356
14124cb528
15ac1dc79
hex7569a20

123116064 has 48 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 40951040.

The previous prime is 123116017. The next prime is 123116089. The reversal of 123116064 is 460611321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56434 + ... + 58574.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2123116064 is an apocalyptic number.

It is an amenable number.

123116064 is an abundant number, since it is smaller than the sum of its proper divisors (200754336).

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

123116064 is a wasteful number, since it uses less digits than its factorization.

123116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 123116064 is about 11095.7678418395. The cubic root of 123116064 is about 497.4753591661.

Adding to 123116064 its reverse (460611321), we get a palindrome (583727385).

The spelling of 123116064 in words is "one hundred twenty-three million, one hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 599 1198 1797 2141 2396 3594 4282 4792 6423 7188 8564 9584 12846 14376 17128 19168 25692 28752 34256 51384 57504 68512 102768 205536 1282459 2564918 3847377 5129836 7694754 10259672 15389508 20519344 30779016 41038688 61558032 123116064