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10521252 = 223474639
BaseRepresentation
bin101000001000…
…101010100100
3201210112110000
4220020222210
510143140002
61013301300
7155300130
oct50105244
921715400
1010521252
115a36855
123634830
132244bc1
14157c3c0
15dcc61c
hexa08aa4

10521252 has 60 divisors (see below), whose sum is σ = 31440640. Its totient is φ = 3005424.

The previous prime is 10521241. The next prime is 10521253. The reversal of 10521252 is 25212501.

It is a super-2 number, since 2×105212522 = 221393487295008, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10521253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52 + ... + 4587.

Almost surely, 210521252 is an apocalyptic number.

10521252 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 10521252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720320).

10521252 is an abundant number, since it is smaller than the sum of its proper divisors (20919388).

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

10521252 is a wasteful number, since it uses less digits than its factorization.

10521252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10521252 is about 3243.6479463715. The cubic root of 10521252 is about 219.1235932129.

Adding to 10521252 its reverse (25212501), we get a palindrome (35733753).

It can be divided in two parts, 1052 and 1252, that added together give a square (2304 = 482).

The spelling of 10521252 in words is "ten million, five hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 4639 9278 13917 18556 27834 32473 41751 55668 64946 83502 97419 125253 129892 167004 194838 250506 292257 375759 389676 501012 584514 751518 876771 1169028 1503036 1753542 2630313 3507084 5260626 10521252