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10332252 = 2233779173
BaseRepresentation
bin100111011010…
…100001011100
3201102221012000
4213122201130
510121113002
61005242300
7153552120
oct47324134
921387160
1010332252
115917857
123563390
1321a9b78
14152d580
15d9161c
hex9da85c

10332252 has 96 divisors (see below), whose sum is σ = 31180800. Its totient is φ = 2897856.

The previous prime is 10332227. The next prime is 10332253. The reversal of 10332252 is 25223301.

10332252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59638 + ... + 59810.

It is an arithmetic number, because the mean of its divisors is an integer number (324800).

Almost surely, 210332252 is an apocalyptic number.

10332252 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 10332252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590400).

10332252 is an abundant number, since it is smaller than the sum of its proper divisors (20848548).

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

10332252 is a wasteful number, since it uses less digits than its factorization.

10332252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10332252 is about 3214.3820556990. The cubic root of 10332252 is about 217.8035713429.

Adding to 10332252 its reverse (25223301), we get a palindrome (35555553).

The spelling of 10332252 in words is "ten million, three hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 84 108 126 158 173 189 237 252 316 346 378 474 519 553 692 711 756 948 1038 1106 1211 1422 1557 1659 2076 2133 2212 2422 2844 3114 3318 3633 4266 4671 4844 4977 6228 6636 7266 8532 9342 9954 10899 13667 14532 14931 18684 19908 21798 27334 29862 32697 41001 43596 54668 59724 65394 82002 95669 123003 130788 164004 191338 246006 287007 369009 382676 492012 574014 738018 861021 1148028 1476036 1722042 2583063 3444084 5166126 10332252