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20297992 = 23112131613
BaseRepresentation
bin100110101101…
…1100100001000
31102012020121111
41031123210020
520144013432
62003020104
7334346551
oct115334410
942166544
1020297992
1110504200
12696a634
134288c60
1429a5328
151bae347
hex135b908

20297992 has 48 divisors (see below), whose sum is σ = 45079020. Its totient is φ = 8511360.

The previous prime is 20297971. The next prime is 20298001. The reversal of 20297992 is 29979202.

It can be written as a sum of positive squares in 2 ways, for example, as 19945156 + 352836 = 4466^2 + 594^2 .

It is an unprimeable number.

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, 11778 + ... + 13390.

Almost surely, 220297992 is an apocalyptic number.

20297992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20297992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22539510).

20297992 is an abundant number, since it is smaller than the sum of its proper divisors (24781028).

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

20297992 is a wasteful number, since it uses less digits than its factorization.

20297992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 20297992 is about 4505.3292887424. The cubic root of 20297992 is about 272.7832455891.

The spelling of 20297992 in words is "twenty million, two hundred ninety-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 1613 3146 3226 6292 6452 12584 12904 17743 20969 35486 41938 70972 83876 141944 167752 195173 230659 390346 461318 780692 922636 1561384 1845272 2537249 5074498 10148996 20297992