Search a number
-
+
10856232 = 23321311151
BaseRepresentation
bin101001011010…
…011100101000
3202102112221200
4221122130220
510234344412
61024404200
7161163552
oct51323450
922375850
1010856232
1161454a2
123776660
13233150a
1416284d2
15e469dc
hexa5a728

10856232 has 48 divisors (see below), whose sum is σ = 29652480. Its totient is φ = 3588000.

The previous prime is 10856221. The next prime is 10856257. The reversal of 10856232 is 23265801.

It is a junction number, because it is equal to n+sod(n) for n = 10856196 and 10856205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8857 + ... + 10007.

It is an arithmetic number, because the mean of its divisors is an integer number (617760).

Almost surely, 210856232 is an apocalyptic number.

10856232 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 10856232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826240).

10856232 is an abundant number, since it is smaller than the sum of its proper divisors (18796248).

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

10856232 is a wasteful number, since it uses less digits than its factorization.

10856232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10856232 is about 3294.8796639635. The cubic root of 10856232 is about 221.4248565057.

The spelling of 10856232 in words is "ten million, eight hundred fifty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1151 1179 1572 2302 2358 3144 3453 4604 4716 6906 9208 9432 10359 13812 20718 27624 41436 82872 150781 301562 452343 603124 904686 1206248 1357029 1809372 2714058 3618744 5428116 10856232