Search a number
-
+
256466640 = 24351068611
BaseRepresentation
bin11110100100101…
…01111011010000
3122212120212002110
433102111323100
51011123413030
641240545320
76232634103
oct1722257320
9585525073
10256466640
11121850201
1271a82240
1341197c11
14260c073a
15177b01b0
hexf495ed0

256466640 has 40 divisors (see below), whose sum is σ = 795047328. Its totient is φ = 68391040.

The previous prime is 256466621. The next prime is 256466671. The reversal of 256466640 is 46664652.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 534066 + ... + 534545.

Almost surely, 2256466640 is an apocalyptic number.

256466640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256466640 is an abundant number, since it is smaller than the sum of its proper divisors (538580688).

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

256466640 is a wasteful number, since it uses less digits than its factorization.

256466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068627 (or 1068621 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 256466640 is about 16014.5758607588. The cubic root of 256466640 is about 635.3459912052.

The spelling of 256466640 in words is "two hundred fifty-six million, four hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1068611 2137222 3205833 4274444 5343055 6411666 8548888 10686110 12823332 16029165 17097776 21372220 25646664 32058330 42744440 51293328 64116660 85488880 128233320 256466640