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236928 = 273617
BaseRepresentation
bin111001110110000000
3110001000010
4321312000
530040203
65024520
72004516
oct716600
9401003
10236928
1115200a
12b5140
1383ac3
14624b6
154a303
hex39d80

236928 has 32 divisors (see below), whose sum is σ = 630360. Its totient is φ = 78848.

The previous prime is 236917. The next prime is 236947. The reversal of 236928 is 829632.

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

It is a super-2 number, since 2×2369282 = 112269754368, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2 + 311 + 95 + 63 + 2 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 236895 and 236904.

It is a congruent number.

It is an unprimeable number.

236928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 692.

2236928 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 236928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315180).

236928 is an abundant number, since it is smaller than the sum of its proper divisors (393432).

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

236928 is an equidigital number, since it uses as much as digits as its factorization.

236928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 236928 is about 486.7525038456. The cubic root of 236928 is about 61.8783601889.

Subtracting 236928 from its reverse (829632), we obtain a cube (592704 = 843).

The spelling of 236928 in words is "two hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 617 1234 1851 2468 3702 4936 7404 9872 14808 19744 29616 39488 59232 78976 118464 236928