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20799072 = 2533719181
BaseRepresentation
bin100111101010…
…1111001100000
31110010200222000
41033111321200
520311032242
62021444000
7341534460
oct117257140
943120860
1020799072
1110816718
126b70600
134403058
142a95ba0
151c5ca4c
hex13d5e60

20799072 has 192 divisors, whose sum is σ = 73382400. Its totient is φ = 5598720.

The previous prime is 20799071. The next prime is 20799073. The reversal of 20799072 is 27099702.

It is an interprime number because it is at equal distance from previous prime (20799071) and next prime (20799073).

It is a super-2 number, since 2×207990722 = 865202792122368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20799071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 114822 + ... + 115002.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 220799072 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 20799072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

20799072 is an abundant number, since it is smaller than the sum of its proper divisors (52583328).

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

20799072 is a wasteful number, since it uses less digits than its factorization.

20799072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 20799072 is about 4560.5999605315. The cubic root of 20799072 is about 275.0096834056.

The spelling of 20799072 in words is "twenty million, seven hundred ninety-nine thousand, seventy-two".