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256726320 = 24351069693
BaseRepresentation
bin11110100110101…
…01010100110000
3122220002001022020
433103111110300
51011210220240
641250311440
76235065144
oct1723252460
9586061266
10256726320
11121a08314
1271b88580
1341259186
142614b224
15178120d0
hexf4d5530

256726320 has 40 divisors (see below), whose sum is σ = 795852336. Its totient is φ = 68460288.

The previous prime is 256726319. The next prime is 256726321. The reversal of 256726320 is 23627652.

It is a happy number.

256726320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256726319) and next prime (256726321).

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

It is not an unprimeable number, because it can be changed into a prime (256726321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534607 + ... + 535086.

Almost surely, 2256726320 is an apocalyptic number.

256726320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256726320 is an abundant number, since it is smaller than the sum of its proper divisors (539126016).

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

256726320 is a wasteful number, since it uses less digits than its factorization.

256726320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069709 (or 1069703 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 256726320 is about 16022.6814235321. The cubic root of 256726320 is about 635.5603543594.

The spelling of 256726320 in words is "two hundred fifty-six million, seven hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1069693 2139386 3209079 4278772 5348465 6418158 8557544 10696930 12836316 16045395 17115088 21393860 25672632 32090790 42787720 51345264 64181580 85575440 128363160 256726320