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20442720 = 253542589
BaseRepresentation
bin100110111111…
…0111001100000
31102110121010210
41031332321200
520213131340
62010054120
7335521524
oct115767140
942417123
1020442720
11105a2a11
126a1a340
134309aac
142a01d84
151bdc180
hex137ee60

20442720 has 48 divisors (see below), whose sum is σ = 64396080. Its totient is φ = 5451264.

The previous prime is 20442713. The next prime is 20442731. The reversal of 20442720 is 2724402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20815 + ... + 21774.

It is an arithmetic number, because the mean of its divisors is an integer number (1341585).

Almost surely, 220442720 is an apocalyptic number.

20442720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20442720 is an abundant number, since it is smaller than the sum of its proper divisors (43953360).

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

20442720 is a wasteful number, since it uses less digits than its factorization.

20442720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42607 (or 42599 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 20442720 is about 4521.3626264656. The cubic root of 20442720 is about 273.4300404713.

It can be divided in two parts, 204 and 42720, that added together give a palindrome (42924).

The spelling of 20442720 in words is "twenty million, four hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 42589 85178 127767 170356 212945 255534 340712 425890 511068 638835 681424 851780 1022136 1277670 1362848 1703560 2044272 2555340 3407120 4088544 5110680 6814240 10221360 20442720