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123426560 = 285211457
BaseRepresentation
bin1110101101101…
…01011100000000
322121020201102002
413112311130000
5223044122220
620125243132
73026052125
oct726653400
9277221362
10123426560
1163742224
12354034a8
131c75678a
141256c74c
15ac80c75
hex75b5700

123426560 has 72 divisors (see below), whose sum is σ = 297696336. Its totient is φ = 49029120.

The previous prime is 123426557. The next prime is 123426571. The reversal of 123426560 is 65624321.

It is a congruent number.

It is an unprimeable number.

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, 269852 + ... + 270308.

Almost surely, 2123426560 is an apocalyptic number.

123426560 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 123426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148848168).

123426560 is an abundant number, since it is smaller than the sum of its proper divisors (174269776).

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

123426560 is an equidigital number, since it uses as much as digits as its factorization.

123426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 123426560 is about 11109.7506722698. The cubic root of 123426560 is about 497.8932153852.

The spelling of 123426560 in words is "one hundred twenty-three million, four hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 256 320 422 457 640 844 914 1055 1280 1688 1828 2110 2285 3376 3656 4220 4570 6752 7312 8440 9140 13504 14624 16880 18280 27008 29248 33760 36560 54016 58496 67520 73120 96427 116992 135040 146240 192854 270080 292480 385708 482135 584960 771416 964270 1542832 1928540 3085664 3857080 6171328 7714160 12342656 15428320 24685312 30856640 61713280 123426560