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10508472 = 233213103109
BaseRepresentation
bin101000000101…
…100010111000
3201202212220200
4220011202320
510142232342
61013122200
7155214642
oct50054270
921685820
1010508472
115a28197
123629360
13223c140
141577892
15dc894c
hexa058b8

10508472 has 96 divisors (see below), whose sum is σ = 31231200. Its totient is φ = 3172608.

The previous prime is 10508471. The next prime is 10508479. The reversal of 10508472 is 27480501.

It is a super-2 number, since 2×105084722 = 220855967549568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10508471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96354 + ... + 96462.

It is an arithmetic number, because the mean of its divisors is an integer number (325325).

Almost surely, 210508472 is an apocalyptic number.

10508472 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 10508472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615600).

10508472 is an abundant number, since it is smaller than the sum of its proper divisors (20722728).

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

10508472 is a wasteful number, since it uses less digits than its factorization.

10508472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10508472 is about 3241.6773435985. The cubic root of 10508472 is about 219.0348352668.

Adding to 10508472 its reverse (27480501), we get a palindrome (37988973).

The spelling of 10508472 in words is "ten million, five hundred eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 103 104 109 117 156 206 218 234 309 312 327 412 436 468 618 654 824 872 927 936 981 1236 1308 1339 1417 1854 1962 2472 2616 2678 2834 3708 3924 4017 4251 5356 5668 7416 7848 8034 8502 10712 11227 11336 12051 12753 16068 17004 22454 24102 25506 32136 33681 34008 44908 48204 51012 67362 89816 96408 101043 102024 134724 145951 202086 269448 291902 404172 437853 583804 808344 875706 1167608 1313559 1751412 2627118 3502824 5254236 10508472