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123427392 = 2631158441
BaseRepresentation
bin1110101101101…
…01101001000000
322121020202112220
413112311221000
5223044134032
620125251040
73026054424
oct726655100
9277222486
10123427392
1163742910
1235403a80
131c756c7a
141256cb84
15ac8112c
hex75b5a40

123427392 has 56 divisors (see below), whose sum is σ = 356262432. Its totient is φ = 37401600.

The previous prime is 123427379. The next prime is 123427397. The reversal of 123427392 is 293724321.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (123427397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27109 + ... + 31332.

Almost surely, 2123427392 is an apocalyptic number.

123427392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123427392 is an abundant number, since it is smaller than the sum of its proper divisors (232835040).

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

123427392 is a wasteful number, since it uses less digits than its factorization.

123427392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58467 (or 58457 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 123427392 is about 11109.7881167914. The cubic root of 123427392 is about 497.8943341240.

The spelling of 123427392 in words is "one hundred twenty-three million, four hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 58441 116882 175323 233764 350646 467528 642851 701292 935056 1285702 1402584 1870112 1928553 2571404 2805168 3740224 3857106 5142808 5610336 7714212 10285616 11220672 15428424 20571232 30856848 41142464 61713696 123427392