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1132928 = 2753167
BaseRepresentation
bin100010100100110000000
32010120002022
410110212000
5242223203
640141012
712425666
oct4244600
92116068
101132928
11704205
12467768
13308894
14216c36
15175a38
hex114980

1132928 has 32 divisors (see below), whose sum is σ = 2313360. Its totient is φ = 552448.

The previous prime is 1132927. The next prime is 1132933. The reversal of 1132928 is 8292311.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×11329283 = 4362427133388128256, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1132897 and 1132906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6701 + ... + 6867.

21132928 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 1132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156680).

1132928 is an abundant number, since it is smaller than the sum of its proper divisors (1180432).

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

1132928 is an equidigital number, since it uses as much as digits as its factorization.

1132928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 1132928 is about 1064.3909056357. The cubic root of 1132928 is about 104.2479291934.

The spelling of 1132928 in words is "one million, one hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 167 212 334 424 668 848 1336 1696 2672 3392 5344 6784 8851 10688 17702 21376 35404 70808 141616 283232 566464 1132928