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10629252 = 223398419
BaseRepresentation
bin101000100011…
…000010000100
3202000000121000
4220203002010
510210114002
61015453300
7156230034
oct50430204
922000530
1010629252
115aaaa07
123687230
1322820ca
1415a98c4
15dee61c
hexa23084

10629252 has 24 divisors (see below), whose sum is σ = 27557600. Its totient is φ = 3543048.

The previous prime is 10629251. The next prime is 10629253. The reversal of 10629252 is 25292601.

10629252 is a `hidden beast` number, since 10 + 629 + 25 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10629251) and next prime (10629253).

It is a super-2 number, since 2×106292522 = 225961996159008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10629251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49102 + ... + 49317.

Almost surely, 210629252 is an apocalyptic number.

10629252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10629252 is an abundant number, since it is smaller than the sum of its proper divisors (16928348).

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

10629252 is a wasteful number, since it uses less digits than its factorization.

10629252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98432 (or 98424 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10629252 is about 3260.2533643875. The cubic root of 10629252 is about 219.8708056886.

The spelling of 10629252 in words is "ten million, six hundred twenty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 98419 196838 295257 393676 590514 885771 1181028 1771542 2657313 3543084 5314626 10629252