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20453632 = 28109733
BaseRepresentation
bin100111000000…
…1100100000000
31102111011002221
41032001210000
520214004012
62010220424
7335565403
oct116014400
942434087
1020453632
1110600131
126a24714
134311a54
142a05d3a
151be0507
hex1381900

20453632 has 36 divisors (see below), whose sum is σ = 41258140. Its totient is φ = 10119168.

The previous prime is 20453627. The next prime is 20453639. The reversal of 20453632 is 23635402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 2611456 = 4224^2 + 1616^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20453597 and 20453606.

It is not an unprimeable number, because it can be changed into a prime (20453639) 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 3 ways as a sum of consecutive naturals, for example, 27538 + ... + 28270.

Almost surely, 220453632 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 20453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629070).

20453632 is an abundant number, since it is smaller than the sum of its proper divisors (20804508).

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

20453632 is an equidigital number, since it uses as much as digits as its factorization.

20453632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 20453632 is about 4522.5691813393. The cubic root of 20453632 is about 273.4786826918.

The spelling of 20453632 in words is "twenty million, four hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 733 872 1466 1744 2932 3488 5864 6976 11728 13952 23456 27904 46912 79897 93824 159794 187648 319588 639176 1278352 2556704 5113408 10226816 20453632