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11172252 = 2237132787
BaseRepresentation
bin101010100111…
…100110011100
3210000121110010
4222213212130
510330003002
61035243220
7163651110
oct52474634
923017403
1011172252
116340973
1238a9510
132412300
1416ab740
15eaa46c
hexaa799c

11172252 has 72 divisors (see below), whose sum is σ = 32301696. Its totient is φ = 2942784.

The previous prime is 11172251. The next prime is 11172253. The reversal of 11172252 is 25227111.

It is an interprime number because it is at equal distance from previous prime (11172251) and next prime (11172253).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11172251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13803 + ... + 14589.

Almost surely, 211172252 is an apocalyptic number.

11172252 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 11172252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150848).

11172252 is an abundant number, since it is smaller than the sum of its proper divisors (21129444).

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

11172252 is a wasteful number, since it uses less digits than its factorization.

11172252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 812 counting only the distinct ones).

The product of its digits is 280, while the sum is 21.

The square root of 11172252 is about 3342.4918848069. The cubic root of 11172252 is about 223.5528654930.

Adding to 11172252 its reverse (25227111), we get a palindrome (36399363).

The spelling of 11172252 in words is "eleven million, one hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 787 1014 1092 1183 1574 2028 2361 2366 3148 3549 4722 4732 5509 7098 9444 10231 11018 14196 16527 20462 22036 30693 33054 40924 61386 66108 71617 122772 133003 143234 214851 266006 286468 399009 429702 532012 798018 859404 931021 1596036 1862042 2793063 3724084 5586126 11172252