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20411904 = 29397137
BaseRepresentation
bin100110111011…
…1011000000000
31102102000212110
41031313120000
520211140104
62005255320
7335332632
oct115673000
942360773
1020411904
1110581847
126a04540
1342c8a66
1429d4a52
151bd2e89
hex1377600

20411904 has 80 divisors (see below), whose sum is σ = 55340208. Its totient is φ = 6684672.

The previous prime is 20411903. The next prime is 20411921. The reversal of 20411904 is 40911402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148924 + ... + 149060.

Almost surely, 220411904 is an apocalyptic number.

20411904 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 20411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27670104).

20411904 is an abundant number, since it is smaller than the sum of its proper divisors (34928304).

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

20411904 is an equidigital number, since it uses as much as digits as its factorization.

20411904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20411904 is about 4517.9535190172. The cubic root of 20411904 is about 273.2925790252.

The spelling of 20411904 in words is "twenty million, four hundred eleven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 137 192 194 256 274 291 384 388 411 512 548 582 768 776 822 1096 1164 1536 1552 1644 2192 2328 3104 3288 4384 4656 6208 6576 8768 9312 12416 13152 13289 17536 18624 24832 26304 26578 35072 37248 39867 49664 52608 53156 70144 74496 79734 105216 106312 148992 159468 210432 212624 318936 425248 637872 850496 1275744 1700992 2551488 3401984 5102976 6803968 10205952 20411904