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20350976 = 21119523
BaseRepresentation
bin100110110100…
…0100000000000
31102021221021212
41031220200000
520202212401
62004105252
7334660202
oct115504000
942257255
1020350976
111053aa98
126995228
1342a70c9
1429ba772
151bbedbb
hex1368800

20350976 has 48 divisors (see below), whose sum is σ = 42915600. Its totient is φ = 9621504.

The previous prime is 20350969. The next prime is 20350991. The reversal of 20350976 is 67905302.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38651 + ... + 39173.

It is an arithmetic number, because the mean of its divisors is an integer number (894075).

Almost surely, 220350976 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 20350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457800).

20350976 is an abundant number, since it is smaller than the sum of its proper divisors (22564624).

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

20350976 is an equidigital number, since it uses as much as digits as its factorization.

20350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 20350976 is about 4511.2056038270. The cubic root of 20350976 is about 273.0203887504.

The spelling of 20350976 in words is "twenty million, three hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 523 608 1024 1046 1216 2048 2092 2432 4184 4864 8368 9728 9937 16736 19456 19874 33472 38912 39748 66944 79496 133888 158992 267776 317984 535552 635968 1071104 1271936 2543872 5087744 10175488 20350976