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20282964 = 22313235653
BaseRepresentation
bin100110101011…
…1111001010100
31102011110222220
41031113321110
520143023324
62002422340
7334255002
oct115277124
942143886
1020282964
11104a3989
1269619b0
134282170
14299da72
151ba9b79
hex1357e54

20282964 has 48 divisors (see below), whose sum is σ = 53192832. Its totient is φ = 5968512.

The previous prime is 20282963. The next prime is 20283007. The reversal of 20282964 is 46928202.

It is a super-2 number, since 2×202829642 = 822797257250592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20282963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762 + ... + 6414.

It is an arithmetic number, because the mean of its divisors is an integer number (1108184).

Almost surely, 220282964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20282964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26596416).

20282964 is an abundant number, since it is smaller than the sum of its proper divisors (32909868).

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

20282964 is a wasteful number, since it uses less digits than its factorization.

20282964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20282964 is about 4503.6611773090. The cubic root of 20282964 is about 272.7159089002.

The spelling of 20282964 in words is "twenty million, two hundred eighty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 5653 11306 16959 22612 33918 67836 73489 130019 146978 220467 260038 293956 390057 440934 520076 780114 881868 1560228 1690247 3380494 5070741 6760988 10141482 20282964