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20475136 = 28112661
BaseRepresentation
bin100111000011…
…0110100000000
31102112020121101
41032012310000
520220201021
62010504144
7336015163
oct116066400
942466541
1020475136
1110615300
126a35054
13431b786
142a0dada
151be6a91
hex1386d00

20475136 has 54 divisors (see below), whose sum is σ = 44991506. Its totient is φ = 9292800.

The previous prime is 20475121. The next prime is 20475149. The reversal of 20475136 is 63157402.

It can be written as a sum of positive squares in only one way, i.e., 19360000 + 1115136 = 4400^2 + 1056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30646 + ... + 31306.

Almost surely, 220475136 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 20475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22495753).

20475136 is an abundant number, since it is smaller than the sum of its proper divisors (24516370).

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

20475136 is an equidigital number, since it uses as much as digits as its factorization.

20475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 20475136 is about 4524.9459665282. The cubic root of 20475136 is about 273.5744900580.

The spelling of 20475136 in words is "twenty million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 661 704 968 1322 1408 1936 2644 2816 3872 5288 7271 7744 10576 14542 15488 21152 29084 30976 42304 58168 79981 84608 116336 159962 169216 232672 319924 465344 639848 930688 1279696 1861376 2559392 5118784 10237568 20475136