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256460000 = 255412823
BaseRepresentation
bin11110100100101…
…00010011100000
3122212120111222112
433102110103200
51011123210000
641240454452
76232605536
oct1722242340
9585514875
10256460000
11121846215
1271a7a428
1341194ba4
14260bc156
15177ad235
hexf4944e0

256460000 has 60 divisors (see below), whose sum is σ = 630979272. Its totient is φ = 102576000.

The previous prime is 256459999. The next prime is 256460069. The reversal of 256460000 is 64652.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13589 + ... + 26411.

Almost surely, 2256460000 is an apocalyptic number.

256460000 is a gapful number since it is divisible by the number (20) 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 256460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315489636).

256460000 is an abundant number, since it is smaller than the sum of its proper divisors (374519272).

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

256460000 is an equidigital number, since it uses as much as digits as its factorization.

256460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12853 (or 12830 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 256460000 is about 16014.3685482756. The cubic root of 256460000 is about 635.3405080570.

The spelling of 256460000 in words is "two hundred fifty-six million, four hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 12823 20000 25646 51292 64115 102584 128230 205168 256460 320575 410336 512920 641150 1025840 1282300 1602875 2051680 2564600 3205750 5129200 6411500 8014375 10258400 12823000 16028750 25646000 32057500 51292000 64115000 128230000 256460000