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1157256 = 233216073
BaseRepresentation
bin100011010100010001000
32011210110100
410122202020
5244013011
640445400
712556632
oct4324210
92153410
101157256
11720511
12479860
13316989
14221a52
1517cd56
hex11a888

1157256 has 24 divisors (see below), whose sum is σ = 3134430. Its totient is φ = 385728.

The previous prime is 1157251. The next prime is 1157257. The reversal of 1157256 is 6527511.

It can be written as a sum of positive squares in only one way, i.e., 1102500 + 54756 = 1050^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1157251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7965 + ... + 8108.

21157256 is an apocalyptic number.

It is an amenable number.

1157256 is an abundant number, since it is smaller than the sum of its proper divisors (1977174).

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

1157256 is a wasteful number, since it uses less digits than its factorization.

1157256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16085 (or 16078 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 1157256 is about 1075.7583371743. The cubic root of 1157256 is about 104.9888423518.

It can be divided in two parts, 11572 and 56, that added together give a triangular number (11628 = T152).

The spelling of 1157256 in words is "one million, one hundred fifty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 16073 32146 48219 64292 96438 128584 144657 192876 289314 385752 578628 1157256