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12503172 = 22311279109
BaseRepresentation
bin101111101100…
…100010000100
3212112020010110
4233230202010
511200100142
61123553020
7211163253
oct57544204
925466113
1012503172
11706a900
12422b770
13278a036
14193679a
15116e99c
hexbec884

12503172 has 72 divisors (see below), whose sum is σ = 32771200. Its totient is φ = 3706560.

The previous prime is 12503167. The next prime is 12503201. The reversal of 12503172 is 27130521.

It is a super-3 number, since 3×125031723 (a number of 22 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 114654 + ... + 114762.

Almost surely, 212503172 is an apocalyptic number.

12503172 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 12503172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385600).

12503172 is an abundant number, since it is smaller than the sum of its proper divisors (20268028).

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

12503172 is a wasteful number, since it uses less digits than its factorization.

12503172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12503172 is about 3535.9824660199. The cubic root of 12503172 is about 232.0990708467.

Adding to 12503172 its reverse (27130521), we get a palindrome (39633693).

The spelling of 12503172 in words is "twelve million, five hundred three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 109 121 132 158 218 237 242 316 327 363 436 474 484 654 726 869 948 1199 1308 1452 1738 2398 2607 3476 3597 4796 5214 7194 8611 9559 10428 13189 14388 17222 19118 25833 26378 28677 34444 38236 39567 51666 52756 57354 79134 94721 103332 114708 158268 189442 284163 378884 568326 1041931 1136652 2083862 3125793 4167724 6251586 12503172