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20797320 = 2335712441
BaseRepresentation
bin100111101010…
…1011110001000
31110010121120010
41033111132020
520311003240
62021431520
7341526405
oct117253610
943117503
1020797320
1110815375
126b6b5a0
13440230b
142a952ac
151c5c280
hex13d5788

20797320 has 64 divisors (see below), whose sum is σ = 63296640. Its totient is φ = 5465600.

The previous prime is 20797277. The next prime is 20797339. The reversal of 20797320 is 2379702.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7300 + ... + 9740.

It is an arithmetic number, because the mean of its divisors is an integer number (989010).

Almost surely, 220797320 is an apocalyptic number.

20797320 is a gapful number since it is divisible by the number (20) 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 20797320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31648320).

20797320 is an abundant number, since it is smaller than the sum of its proper divisors (42499320).

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

20797320 is a wasteful number, since it uses less digits than its factorization.

20797320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 20797320 is about 4560.4078764953. The cubic root of 20797320 is about 275.0019614185.

The spelling of 20797320 in words is "twenty million, seven hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2441 2840 4260 4882 7323 8520 9764 12205 14646 19528 24410 29292 36615 48820 58584 73230 97640 146460 173311 292920 346622 519933 693244 866555 1039866 1386488 1733110 2079732 2599665 3466220 4159464 5199330 6932440 10398660 20797320