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256241320 = 23533719009
BaseRepresentation
bin11110100010111…
…10111010101000
3122212011102000021
433101132322220
51011044210240
641232050224
76231005146
oct1721367250
9585142007
10256241320
11121706995
1271993974
13411194aa
1426062596
151776854a
hexf45eea8

256241320 has 32 divisors (see below), whose sum is σ = 578284200. Its totient is φ = 102187008.

The previous prime is 256241309. The next prime is 256241339. The reversal of 256241320 is 23142652.

256241320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 218271076 + 37970244 = 14774^2 + 6162^2 .

It is a super-2 number, since 2×2562413202 = 131319228150684800, which contains 22 as substring.

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, 3976 + ... + 22984.

Almost surely, 2256241320 is an apocalyptic number.

256241320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256241320 is an abundant number, since it is smaller than the sum of its proper divisors (322042880).

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

256241320 is a wasteful number, since it uses less digits than its factorization.

256241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19357 (or 19353 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 256241320 is about 16007.5394736355. The cubic root of 256241320 is about 635.1598745980.

Adding to 256241320 its reverse (23142652), we get a palindrome (279383972).

The spelling of 256241320 in words is "two hundred fifty-six million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 337 674 1348 1685 2696 3370 6740 13480 19009 38018 76036 95045 152072 190090 380180 760360 6406033 12812066 25624132 32030165 51248264 64060330 128120660 256241320