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20444724 = 223489709
BaseRepresentation
bin100110111111…
…1011000110100
31102110200220000
41031333120310
520213212344
62010111300
7335530416
oct115773064
942420800
1020444724
11105a4473
126a1b530
13430a991
142a029b6
151bdca69
hex137f634

20444724 has 60 divisors (see below), whose sum is σ = 54123300. Its totient is φ = 6728832.

The previous prime is 20444719. The next prime is 20444729. The reversal of 20444724 is 42744402.

It is an interprime number because it is at equal distance from previous prime (20444719) and next prime (20444729).

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 17139600 = 1818^2 + 4140^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444729) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28482 + ... + 29190.

It is an arithmetic number, because the mean of its divisors is an integer number (902055).

Almost surely, 220444724 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 20444724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27061650).

20444724 is an abundant number, since it is smaller than the sum of its proper divisors (33678576).

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

20444724 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (20444723) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (814).

20444724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 20444724 is about 4521.5842356413. The cubic root of 20444724 is about 273.4389749624.

The spelling of 20444724 in words is "twenty million, four hundred forty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 709 801 1068 1418 1602 2127 2403 2836 3204 4254 4806 6381 7209 8508 9612 12762 14418 19143 25524 28836 38286 57429 63101 76572 114858 126202 189303 229716 252404 378606 567909 757212 1135818 1703727 2271636 3407454 5111181 6814908 10222362 20444724