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21797320 = 2353131741
BaseRepresentation
bin101001100100…
…1100111001000
31112000102022011
41103021213020
521040003240
62055105304
7353163016
oct123114710
945012264
1021797320
1111338716
127372234
13469252c
142c758b6
151da86ea
hex14c99c8

21797320 has 32 divisors (see below), whose sum is σ = 49228920. Its totient is φ = 8686080.

The previous prime is 21797297. The next prime is 21797327. The reversal of 21797320 is 2379712.

It can be written as a sum of positive squares in 4 ways, for example, as 2979076 + 18818244 = 1726^2 + 4338^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21797327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11650 + ... + 13390.

Almost surely, 221797320 is an apocalyptic number.

21797320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21797320 is an abundant number, since it is smaller than the sum of its proper divisors (27431600).

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

21797320 is a wasteful number, since it uses less digits than its factorization.

21797320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 21797320 is about 4668.7600066827. The cubic root of 21797320 is about 279.3407961936.

The spelling of 21797320 in words is "twenty-one million, seven hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 1741 2504 3130 3482 6260 6964 8705 12520 13928 17410 34820 69640 544933 1089866 2179732 2724665 4359464 5449330 10898660 21797320