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20419168 = 257118287
BaseRepresentation
bin100110111100…
…1001001100000
31102102101211111
41031321021200
520211403133
62005353104
7335363050
oct115711140
942371744
1020419168
1110587250
126a08794
1342cc163
1429d7560
151bd51cd
hex1379260

20419168 has 48 divisors (see below), whose sum is σ = 50125824. Its totient is φ = 7954560.

The previous prime is 20419163. The next prime is 20419169. The reversal of 20419168 is 86191402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20419163) 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, 1680 + ... + 6607.

It is an arithmetic number, because the mean of its divisors is an integer number (1044288).

Almost surely, 220419168 is an apocalyptic number.

20419168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20419168 is an abundant number, since it is smaller than the sum of its proper divisors (29706656).

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

20419168 is a wasteful number, since it uses less digits than its factorization.

20419168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 20419168 is about 4518.7573513080. The cubic root of 20419168 is about 273.3249941272.

The spelling of 20419168 in words is "twenty million, four hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 8287 16574 33148 58009 66296 91157 116018 132592 182314 232036 265184 364628 464072 638099 729256 928144 1276198 1458512 1856288 2552396 2917024 5104792 10209584 20419168