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123129856 = 212231307
BaseRepresentation
bin1110101011011…
…01000000000000
322120200122102001
413111231000000
5223010123411
620115033344
73023405113
oct725550000
9276618361
10123129856
116355a313
123529b854
131c681705
14124d257a
15ac22dc1
hex756d000

123129856 has 52 divisors (see below), whose sum is σ = 257131872. Its totient is φ = 58843136.

The previous prime is 123129829. The next prime is 123129871. The reversal of 123129856 is 658921321.

It is a super-2 number, since 2×1231298562 = 30321922877161472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93555 + ... + 94861.

Almost surely, 2123129856 is an apocalyptic number.

123129856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128565936).

123129856 is an abundant number, since it is smaller than the sum of its proper divisors (134002016).

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

123129856 is an equidigital number, since it uses as much as digits as its factorization.

123129856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1332 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 123129856 is about 11096.3893226581. The cubic root of 123129856 is about 497.4939349277.

The spelling of 123129856 in words is "one hundred twenty-three million, one hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1307 1472 2048 2614 2944 4096 5228 5888 10456 11776 20912 23552 30061 41824 47104 60122 83648 94208 120244 167296 240488 334592 480976 669184 961952 1338368 1923904 2676736 3847808 5353472 7695616 15391232 30782464 61564928 123129856