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20211968 = 28711279
BaseRepresentation
bin100110100011…
…0100100000000
31102000212121102
41031012210000
520133240333
62001113532
7333541010
oct115064400
942025542
1020211968
1110455607
1269288a8
134258a5a
142981c40
151b93ae8
hex1346900

20211968 has 36 divisors (see below), whose sum is σ = 46112640. Its totient is φ = 8661504.

The previous prime is 20211967. The next prime is 20211973. The reversal of 20211968 is 86911202.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20211968.

It is not an unprimeable number, because it can be changed into a prime (20211967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3848 + ... + 7431.

Almost surely, 220211968 is an apocalyptic number.

20211968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20211968 is an abundant number, since it is smaller than the sum of its proper divisors (25900672).

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

20211968 is an equidigital number, since it uses as much as digits as its factorization.

20211968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 20211968 is about 4495.7722362237. The cubic root of 20211968 is about 272.3973431458.

The spelling of 20211968 in words is "twenty million, two hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 11279 22558 45116 78953 90232 157906 180464 315812 360928 631624 721856 1263248 1443712 2526496 2887424 5052992 10105984 20211968