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1005252 = 223194409
BaseRepresentation
bin11110101011011000100
31220001221120
43311123010
5224132002
633313540
711354523
oct3653304
91801846
101005252
11627296
124058b0
13292731
141c24ba
1514ccbc
hexf56c4

1005252 has 24 divisors (see below), whose sum is σ = 2469600. Its totient is φ = 317376.

The previous prime is 1005241. The next prime is 1005269. The reversal of 1005252 is 2525001.

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 7 ways as a sum of consecutive naturals, for example, 1977 + ... + 2432.

It is an arithmetic number, because the mean of its divisors is an integer number (102900).

21005252 is an apocalyptic number.

1005252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005252 is an abundant number, since it is smaller than the sum of its proper divisors (1464348).

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

1005252 is a wasteful number, since it uses less digits than its factorization.

1005252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 1005252 is about 1002.6225610867. The cubic root of 1005252 is about 100.1747610744.

The spelling of 1005252 in words is "one million, five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 4409 8818 13227 17636 26454 52908 83771 167542 251313 335084 502626 1005252