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123593920 = 265794889
BaseRepresentation
bin1110101110111…
…10010011000000
322121120012222121
413113132103000
5223120001140
620133014024
73030350062
oct727362300
9277505877
10123593920
1163846a3a
1235484314
131c7b49c8
14125b3732
15acb564a
hex75de4c0

123593920 has 56 divisors (see below), whose sum is σ = 298094400. Its totient is φ = 48801792.

The previous prime is 123593909. The next prime is 123593971. The reversal of 123593920 is 29395321.

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, 22836 + ... + 27724.

Almost surely, 2123593920 is an apocalyptic number.

123593920 is a gapful number since it is divisible by the number (10) 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 123593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149047200).

123593920 is an abundant number, since it is smaller than the sum of its proper divisors (174500480).

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

123593920 is an equidigital number, since it uses as much as digits as its factorization.

123593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 123593920 is about 11117.2802429371. The cubic root of 123593920 is about 498.1181528550.

The spelling of 123593920 in words is "one hundred twenty-three million, five hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 2528 3160 4889 5056 6320 9778 12640 19556 24445 25280 39112 48890 78224 97780 156448 195560 312896 386231 391120 772462 782240 1544924 1564480 1931155 3089848 3862310 6179696 7724620 12359392 15449240 24718784 30898480 61796960 123593920