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1056032 = 2561541
BaseRepresentation
bin100000001110100100000
31222122121022
410001310200
5232243112
634345012
711655545
oct4016440
91878538
101056032
1166145a
1242b168
132ac893
141d6bcc
1515cd72
hex101d20

1056032 has 24 divisors (see below), whose sum is σ = 2117052. Its totient is φ = 518400.

The previous prime is 1056019. The next prime is 1056047. The reversal of 1056032 is 2306501.

It can be written as a sum of positive squares in 2 ways, for example, as 929296 + 126736 = 964^2 + 356^2 .

It is a super-2 number, since 2×10560322 = 2230407170048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056032.

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, 1682 + ... + 2222.

21056032 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 1056032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058526).

1056032 is an abundant number, since it is smaller than the sum of its proper divisors (1061020).

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

1056032 is an equidigital number, since it uses as much as digits as its factorization.

1056032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1056032 is about 1027.6341761541. The cubic root of 1056032 is about 101.8338959976.

The spelling of 1056032 in words is "one million, fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 541 976 1082 1952 2164 4328 8656 17312 33001 66002 132004 264008 528016 1056032