Search a number
-
+
270501056 = 267797643
BaseRepresentation
bin10000000111111…
…000010011000000
3200211222212200122
4100013320103000
51023222013211
642501435412
76463135550
oct2007702300
9624885618
10270501056
111297664a1
127670bb68
134406cbc7
1427cd5160
1518b336db
hex101f84c0

270501056 has 56 divisors (see below), whose sum is σ = 621304320. Its totient is φ = 114446592.

The previous prime is 270501053. The next prime is 270501083. The reversal of 270501056 is 650105072.

It is a tau number, because it is divible by the number of its divisors (56).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270501053) 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, 31571 + ... + 39213.

It is an arithmetic number, because the mean of its divisors is an integer number (11094720).

Almost surely, 2270501056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310652160).

270501056 is an abundant number, since it is smaller than the sum of its proper divisors (350803264).

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

270501056 is an equidigital number, since it uses as much as digits as its factorization.

270501056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 270501056 is about 16446.9163067123. The cubic root of 270501056 is about 646.7299719558.

The spelling of 270501056 in words is "two hundred seventy million, five hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 4424 5056 7643 8848 15286 17696 30572 35392 53501 61144 107002 122288 214004 244576 428008 489152 603797 856016 1207594 1712032 2415188 3424064 4226579 4830376 8453158 9660752 16906316 19321504 33812632 38643008 67625264 135250528 270501056