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20444368 = 247289293
BaseRepresentation
bin100110111111…
…1010011010000
31102110200101211
41031333103100
520213204433
62010105504
7335526400
oct115772320
942420354
1020444368
11105a417a
126a1b294
13430a779
142a02800
151bdc8cd
hex137f4d0

20444368 has 60 divisors (see below), whose sum is σ = 46754820. Its totient is φ = 8633856.

The previous prime is 20444357. The next prime is 20444371. The reversal of 20444368 is 86344402.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 7997584 = 3528^2 + 2828^2 .

It is a congruent number.

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, 69630 + ... + 69922.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 220444368 is an apocalyptic number.

20444368 is a gapful number since it is divisible by the number (28) 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 20444368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23377410).

20444368 is an abundant number, since it is smaller than the sum of its proper divisors (26310452).

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

20444368 is a wasteful number, since it uses less digits than its factorization.

20444368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 20444368 is about 4521.5448687368. The cubic root of 20444368 is about 273.4373878400.

The spelling of 20444368 in words is "twenty million, four hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 293 356 392 586 623 712 784 1172 1246 1424 2051 2344 2492 4102 4361 4688 4984 8204 8722 9968 14357 16408 17444 26077 28714 32816 34888 52154 57428 69776 104308 114856 182539 208616 229712 365078 417232 730156 1277773 1460312 2555546 2920624 5111092 10222184 20444368