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1012382920 = 23525309573
BaseRepresentation
bin111100010101111…
…011110011001000
32121112222101021201
4330111323303020
54033132223140
6244242513544
734042053463
oct7425736310
92545871251
101012382920
1147a5112aa
122430658b4
13131984563
14986522da
155dd2a49a
hex3c57bcc8

1012382920 has 16 divisors (see below), whose sum is σ = 2277861660. Its totient is φ = 404953152.

The previous prime is 1012382911. The next prime is 1012382939. The reversal of 1012382920 is 292832101.

It can be written as a sum of positive squares in 2 ways, for example, as 955922724 + 56460196 = 30918^2 + 7514^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12654747 + ... + 12654826.

Almost surely, 21012382920 is an apocalyptic number.

1012382920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012382920 is an abundant number, since it is smaller than the sum of its proper divisors (1265478740).

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

1012382920 is a wasteful number, since it uses less digits than its factorization.

1012382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25309584 (or 25309580 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1012382920 is about 31817.9653654975. The cubic root of 1012382920 is about 1004.1107188363.

The spelling of 1012382920 in words is "one billion, twelve million, three hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 25309573 50619146 101238292 126547865 202476584 253095730 506191460 1012382920