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20997344 = 252347607
BaseRepresentation
bin101000000011…
…0010011100000
31110111202221102
41100012103200
520333403334
62030013532
7343321514
oct120062340
943452842
1020997344
1110941685
1270472a8
134472384
142b08144
151c9b67e
hex14064e0

20997344 has 48 divisors (see below), whose sum is σ = 44126208. Its totient is φ = 9812352.

The previous prime is 20997313. The next prime is 20997349. The reversal of 20997344 is 44379902.

It is a junction number, because it is equal to n+sod(n) for n = 20997298 and 20997307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20997349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34289 + ... + 34895.

It is an arithmetic number, because the mean of its divisors is an integer number (919296).

Almost surely, 220997344 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 20997344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063104).

20997344 is an abundant number, since it is smaller than the sum of its proper divisors (23128864).

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

20997344 is a wasteful number, since it uses less digits than its factorization.

20997344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 20997344 is about 4582.2858924340. The cubic root of 20997344 is about 275.8807858737.

The spelling of 20997344 in words is "twenty million, nine hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 184 188 368 376 607 736 752 1081 1214 1504 2162 2428 4324 4856 8648 9712 13961 17296 19424 27922 28529 34592 55844 57058 111688 114116 223376 228232 446752 456464 656167 912928 1312334 2624668 5249336 10498672 20997344