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20995344 = 2432211691
BaseRepresentation
bin101000000010…
…1110100010000
31110111200012100
41100011310100
520333322334
62030000400
7343312626
oct120056420
943450170
1020995344
1110940127
127046100
1344714a6
142b07516
151c9ac99
hex1405d10

20995344 has 60 divisors (see below), whose sum is σ = 59121712. Its totient is φ = 6955200.

The previous prime is 20995307. The next prime is 20995349. The reversal of 20995344 is 44359902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20995299 and 20995308.

It is not an unprimeable number, because it can be changed into a prime (20995349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30039 + ... + 30729.

Almost surely, 220995344 is an apocalyptic number.

20995344 is a gapful number since it is divisible by the number (24) 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 20995344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29560856).

20995344 is an abundant number, since it is smaller than the sum of its proper divisors (38126368).

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

20995344 is a wasteful number, since it uses less digits than its factorization.

20995344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 20995344 is about 4582.0676555459. The cubic root of 20995344 is about 275.8720263676.

The spelling of 20995344 in words is "twenty million, nine hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 691 844 1266 1382 1688 1899 2073 2532 2764 3376 3798 4146 5064 5528 6219 7596 8292 10128 11056 12438 15192 16584 24876 30384 33168 49752 99504 145801 291602 437403 583204 874806 1166408 1312209 1749612 2332816 2624418 3499224 5248836 6998448 10497672 20995344