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270500864 = 210299109
BaseRepresentation
bin10000000111111…
…000010000000000
3200211222212102112
4100013320100000
51023222011424
642501434452
76463135154
oct2007702000
9624885375
10270500864
11129766337
127670ba28
134406caaa
1427cd5064
1518b3360e
hex101f8400

270500864 has 44 divisors (see below), whose sum is σ = 559445100. Its totient is φ = 130572288.

The previous prime is 270500851. The next prime is 270500873. The reversal of 270500864 is 468005072.

It can be written as a sum of positive squares in 2 ways, for example, as 80281600 + 190219264 = 8960^2 + 13792^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 270500864.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25142 + ... + 34250.

Almost surely, 2270500864 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 270500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279722550).

270500864 is an abundant number, since it is smaller than the sum of its proper divisors (288944236).

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

270500864 is an equidigital number, since it uses as much as digits as its factorization.

270500864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9158 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 270500864 is about 16446.9104697508. The cubic root of 270500864 is about 646.7298189408.

It can be divided in two parts, 2705008 and 64, that added together give a palindrome (2705072).

The spelling of 270500864 in words is "two hundred seventy million, five hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 3712 7424 9109 14848 18218 29696 36436 72872 145744 264161 291488 528322 582976 1056644 1165952 2113288 2331904 4226576 4663808 8453152 9327616 16906304 33812608 67625216 135250432 270500864