Search a number
-
+
10830232 = 237415389
BaseRepresentation
bin101001010100…
…000110011000
3202101020021201
4221110012120
510233031412
61024043544
7161025010
oct51240630
922336251
1010830232
116127a06
1237635b4
13232272a
14161cc40
15e3de57
hexa54198

10830232 has 64 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 4392960.

The previous prime is 10830229. The next prime is 10830251. The reversal of 10830232 is 23203801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121644 + ... + 121732.

It is an arithmetic number, because the mean of its divisors is an integer number (382725).

Almost surely, 210830232 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 10830232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

10830232 is an abundant number, since it is smaller than the sum of its proper divisors (13664168).

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

10830232 is a wasteful number, since it uses less digits than its factorization.

10830232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10830232 is about 3290.9317829454. The cubic root of 10830232 is about 221.2479489527.

The spelling of 10830232 in words is "ten million, eight hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 41 53 56 82 89 106 164 178 212 287 328 356 371 424 574 623 712 742 1148 1246 1484 2173 2296 2492 2968 3649 4346 4717 4984 7298 8692 9434 14596 15211 17384 18868 25543 29192 30422 33019 37736 51086 60844 66038 102172 121688 132076 193397 204344 264152 386794 773588 1353779 1547176 2707558 5415116 10830232