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20952768 = 263611789
BaseRepresentation
bin100111111101…
…1011011000000
31110102111210110
41033323123000
520330442033
62025031320
7343044534
oct117733300
943374713
1020952768
1110911141
127025540
134457cb5
142ad5bc4
151c8d363
hex13fb6c0

20952768 has 56 divisors (see below), whose sum is σ = 56377840. Its totient is φ = 6865920.

The previous prime is 20952751. The next prime is 20952773. The reversal of 20952768 is 86725902.

It is a happy number.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10818 + ... + 12606.

Almost surely, 220952768 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 20952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28188920).

20952768 is an abundant number, since it is smaller than the sum of its proper divisors (35425072).

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

20952768 is a wasteful number, since it uses less digits than its factorization.

20952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 20952768 is about 4577.4193602946. The cubic root of 20952768 is about 275.6854218860.

The spelling of 20952768 in words is "twenty million, nine hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1789 1952 2928 3578 3904 5367 5856 7156 10734 11712 14312 21468 28624 42936 57248 85872 109129 114496 171744 218258 327387 343488 436516 654774 873032 1309548 1746064 2619096 3492128 5238192 6984256 10476384 20952768