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1056432 = 243131693
BaseRepresentation
bin100000001111010110000
31222200011010
410001322300
5232301212
634350520
711656656
oct4017260
91880133
101056432
11661793
1242b440
132acb10
141d6dd6
1515d03c
hex101eb0

1056432 has 40 divisors (see below), whose sum is σ = 2940784. Its totient is φ = 324864.

The previous prime is 1056401. The next prime is 1056443. The reversal of 1056432 is 2346501.

It is a happy number.

It is a super-2 number, since 2×10564322 = 2232097141248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056399 and 1056408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 1470.

21056432 is an apocalyptic number.

1056432 is a gapful number since it is divisible by the number (12) 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 1056432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470392).

1056432 is an abundant number, since it is smaller than the sum of its proper divisors (1884352).

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

1056432 is a wasteful number, since it uses less digits than its factorization.

1056432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1056432 is about 1027.8287795153. The cubic root of 1056432 is about 101.8467518001.

The spelling of 1056432 in words is "one million, fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1693 3386 5079 6772 10158 13544 20316 22009 27088 40632 44018 66027 81264 88036 132054 176072 264108 352144 528216 1056432