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20444760 = 23325721961
BaseRepresentation
bin100110111111…
…1011001011000
31102110200221100
41031333121120
520213213020
62010111400
7335530500
oct115773130
942420840
1020444760
11105a44a6
126a1b560
13430a9bb
142a02a00
151bdca90
hex137f658

20444760 has 288 divisors, whose sum is σ = 82695600. Its totient is φ = 4354560.

The previous prime is 20444759. The next prime is 20444771. The reversal of 20444760 is 6744402.

It is a super-2 number, since 2×204447602 = 835976422915200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335130 + ... + 335190.

Almost surely, 220444760 is an apocalyptic number.

20444760 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 20444760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41347800).

20444760 is an abundant number, since it is smaller than the sum of its proper divisors (62250840).

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

20444760 is a wasteful number, since it uses less digits than its factorization.

20444760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 20444760 is about 4521.5882165452. The cubic root of 20444760 is about 273.4391354569.

The spelling of 20444760 in words is "twenty million, four hundred forty-four thousand, seven hundred sixty".