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1156096 = 2101129
BaseRepresentation
bin100011010010000000000
32011201212101
410122100000
5243443341
640440144
712553354
oct4322000
92151771
101156096
1171a657
12479054
133162a6
14221464
1517c831
hex11a400

1156096 has 22 divisors (see below), whose sum is σ = 2313110. Its totient is φ = 577536.

The previous prime is 1156087. The next prime is 1156097. The reversal of 1156096 is 6906511.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 409600 = 864^2 + 640^2 .

It is a super-2 number, since 2×11560962 = 2673115922432, which contains 22 as substring.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1156097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 460 + ... + 1588.

21156096 is an apocalyptic number.

1156096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156555).

1156096 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1156096 is an equidigital number, since it uses as much as digits as its factorization.

1156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 1156096 is about 1075.2190474503. The cubic root of 1156096 is about 104.9537513631.

The spelling of 1156096 in words is "one million, one hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1129 2258 4516 9032 18064 36128 72256 144512 289024 578048 1156096