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20956896 = 253272767
BaseRepresentation
bin100111111110…
…0011011100000
31110102201110100
41033330123200
520331110041
62025102400
7343062552
oct117743340
943381410
1020956896
1110914254
127027a00
134459b3c
142ad74d2
151c8e6b6
hex13fc6e0

20956896 has 36 divisors (see below), whose sum is σ = 59596992. Its totient is φ = 6985536.

The previous prime is 20956861. The next prime is 20956907. The reversal of 20956896 is 69865902.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36096 + ... + 36671.

It is an arithmetic number, because the mean of its divisors is an integer number (1655472).

Almost surely, 220956896 is an apocalyptic number.

It is an amenable number.

20956896 is an abundant number, since it is smaller than the sum of its proper divisors (38640096).

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

20956896 is a wasteful number, since it uses less digits than its factorization.

20956896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72783 (or 72772 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 20956896 is about 4577.8702471783. The cubic root of 20956896 is about 275.7035253762.

The spelling of 20956896 in words is "twenty million, nine hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 72767 145534 218301 291068 436602 582136 654903 873204 1164272 1309806 1746408 2328544 2619612 3492816 5239224 6985632 10478448 20956896