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20296512 = 2632167211
BaseRepresentation
bin100110101101…
…1001101000000
31102012011120200
41031123031000
520143442022
62003005200
7334342335
oct115331500
942164520
1020296512
1110503085
126969800
134288392
1429a498c
151badbac
hex135b340

20296512 has 84 divisors (see below), whose sum is σ = 58802016. Its totient is φ = 6693120.

The previous prime is 20296483. The next prime is 20296519. The reversal of 20296512 is 21569202.

20296512 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 651 + 2 = 666.

It is a super-2 number, since 2×202965122 = 823896798732288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20296519) 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 11 ways as a sum of consecutive naturals, for example, 96087 + ... + 96297.

It is an arithmetic number, because the mean of its divisors is an integer number (700024).

Almost surely, 220296512 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 20296512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29401008).

20296512 is an abundant number, since it is smaller than the sum of its proper divisors (38505504).

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

20296512 is a wasteful number, since it uses less digits than its factorization.

20296512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20296512 is about 4505.1650358228. The cubic root of 20296512 is about 272.7766155570.

The spelling of 20296512 in words is "twenty million, two hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 167 192 211 288 334 422 501 576 633 668 844 1002 1266 1336 1503 1688 1899 2004 2532 2672 3006 3376 3798 4008 5064 5344 6012 6752 7596 8016 10128 10688 12024 13504 15192 16032 20256 24048 30384 32064 35237 40512 48096 60768 70474 96192 105711 121536 140948 211422 281896 317133 422844 563792 634266 845688 1127584 1268532 1691376 2255168 2537064 3382752 5074128 6765504 10148256 20296512