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20262144 = 28373769
BaseRepresentation
bin100110101001…
…0110100000000
31102010102102210
41031102310000
520141342034
62002142120
7334140210
oct115226400
942112383
1020262144
111048a281
126951940
134275846
142996240
151ba38e9
hex1352d00

20262144 has 72 divisors (see below), whose sum is σ = 61647040. Its totient is φ = 5787648.

The previous prime is 20262133. The next prime is 20262161. The reversal of 20262144 is 44126202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20262144.

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, 3492 + ... + 7260.

Almost surely, 220262144 is an apocalyptic number.

20262144 is a gapful number since it is divisible by the number (24) 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 20262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30823520).

20262144 is an abundant number, since it is smaller than the sum of its proper divisors (41384896).

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

20262144 is an equidigital number, since it uses as much as digits as its factorization.

20262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20262144 is about 4501.3491310939. The cubic root of 20262144 is about 272.6225647340.

Adding to 20262144 its reverse (44126202), we get a palindrome (64388346).

The spelling of 20262144 in words is "twenty million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 3769 5376 7538 11307 15076 22614 26383 30152 45228 52766 60304 79149 90456 105532 120608 158298 180912 211064 241216 316596 361824 422128 482432 633192 723648 844256 964864 1266384 1447296 1688512 2532768 2894592 3377024 5065536 6754048 10131072 20262144