Search a number
-
+
256568640 = 2635267259
BaseRepresentation
bin11110100101011…
…10110101000000
3122212210001000020
433102232311000
51011140144030
641243053440
76233540346
oct1722566500
9585701006
10256568640
1112190a8a9
1271b11280
1341202483
1426109996
15177d0510
hexf4aed40

256568640 has 56 divisors (see below), whose sum is σ = 814608480. Its totient is φ = 68418048.

The previous prime is 256568621. The next prime is 256568699. The reversal of 256568640 is 46865652.

256568640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256568592 and 256568601.

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, 132670 + ... + 134589.

It is an arithmetic number, because the mean of its divisors is an integer number (14546580).

Almost surely, 2256568640 is an apocalyptic number.

256568640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256568640 is an abundant number, since it is smaller than the sum of its proper divisors (558039840).

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

256568640 is a wasteful number, since it uses less digits than its factorization.

256568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267279 (or 267269 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 256568640 is about 16017.7601430412. The cubic root of 256568640 is about 635.4302083984.

The spelling of 256568640 in words is "two hundred fifty-six million, five hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 267259 534518 801777 1069036 1336295 1603554 2138072 2672590 3207108 4008885 4276144 5345180 6414216 8017770 8552288 10690360 12828432 16035540 17104576 21380720 25656864 32071080 42761440 51313728 64142160 85522880 128284320 256568640