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21240720 = 2432529501
BaseRepresentation
bin101000100000…
…1101110010000
31110222010210100
41101001232100
520414200340
62035132400
7345354204
oct121015620
943863710
1021240720
1110a98516
127144100
134529097
142b6cb04
151ce8830
hex1441b90

21240720 has 60 divisors (see below), whose sum is σ = 71335836. Its totient is φ = 5664000.

The previous prime is 21240719. The next prime is 21240743. The reversal of 21240720 is 2704212.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 13220496 = 2832^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×212407202 = 902336372236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21240693 and 21240702.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14031 + ... + 15470.

Almost surely, 221240720 is an apocalyptic number.

21240720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21240720 is an abundant number, since it is smaller than the sum of its proper divisors (50095116).

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

21240720 is a wasteful number, since it uses less digits than its factorization.

21240720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29520 (or 29511 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 21240720 is about 4608.7655614058. The cubic root of 21240720 is about 276.9425869445.

Adding to 21240720 its reverse (2704212), we get a palindrome (23944932).

The spelling of 21240720 in words is "twenty-one million, two hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 29501 59002 88503 118004 147505 177006 236008 265509 295010 354012 442515 472016 531018 590020 708024 885030 1062036 1180040 1327545 1416048 1770060 2124072 2360080 2655090 3540120 4248144 5310180 7080240 10620360 21240720