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20904192 = 283243211
BaseRepresentation
bin100111110111…
…1100100000000
31110100001011100
41033233210000
520322413232
62024014400
7342453111
oct117574400
943301140
1020904192
11108886a1
127001400
13443bb5a
142ac2208
151c7dc7c
hex13ef900

20904192 has 108 divisors (see below), whose sum is σ = 61965904. Its totient is φ = 6773760.

The previous prime is 20904181. The next prime is 20904193. The reversal of 20904192 is 29140902.

It is not an unprimeable number, because it can be changed into a prime (20904193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98967 + ... + 99177.

Almost surely, 220904192 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 20904192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30982952).

20904192 is an abundant number, since it is smaller than the sum of its proper divisors (41061712).

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

20904192 is a wasteful number, since it uses less digits than its factorization.

20904192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20904192 is about 4572.1102348915. The cubic root of 20904192 is about 275.4722112764.

The spelling of 20904192 in words is "twenty million, nine hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 211 256 258 288 344 384 387 422 516 576 633 688 768 774 844 1032 1152 1266 1376 1548 1688 1899 2064 2304 2532 2752 3096 3376 3798 4128 5064 5504 6192 6752 7596 8256 9073 10128 11008 12384 13504 15192 16512 18146 20256 24768 27008 27219 30384 33024 36292 40512 49536 54016 54438 60768 72584 81024 81657 99072 108876 121536 145168 162048 163314 217752 243072 290336 326628 435504 486144 580672 653256 871008 1161344 1306512 1742016 2322688 2613024 3484032 5226048 6968064 10452096 20904192