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20575104 = 273114871
BaseRepresentation
bin100111001111…
…1001110000000
31102201022201220
41032133032000
520231400404
62012555040
7336612504
oct116371600
942638656
1020575104
1110683420
126a82a80
134355124
142a38304
151c164d9
hex139f380

20575104 has 64 divisors (see below), whose sum is σ = 59633280. Its totient is φ = 6233600.

The previous prime is 20575073. The next prime is 20575111. The reversal of 20575104 is 40157502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×205751042 = 846669809221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789 + ... + 6659.

It is an arithmetic number, because the mean of its divisors is an integer number (931770).

Almost surely, 220575104 is an apocalyptic number.

20575104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20575104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29816640).

20575104 is an abundant number, since it is smaller than the sum of its proper divisors (39058176).

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

20575104 is a wasteful number, since it uses less digits than its factorization.

20575104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 20575104 is about 4535.9788359295. The cubic root of 20575104 is about 274.0190016481.

The spelling of 20575104 in words is "twenty million, five hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 4871 9742 14613 19484 29226 38968 53581 58452 77936 107162 116904 155872 160743 214324 233808 311744 321486 428648 467616 623488 642972 857296 935232 1285944 1714592 1870464 2571888 3429184 5143776 6858368 10287552 20575104