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20368944 = 2432373823
BaseRepresentation
bin100110110110…
…0111000110000
31102022211221100
41031230320300
520203301234
62004324400
7335063451
oct115547060
942284840
1020368944
1110552542
1269a3700
1342b233b
1429c3128
151bc5399
hex136ce30

20368944 has 60 divisors (see below), whose sum is σ = 58560736. Its totient is φ = 6604416.

The previous prime is 20368927. The next prime is 20368951. The reversal of 20368944 is 44986302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20368899 and 20368908.

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, 3417 + ... + 7239.

Almost surely, 220368944 is an apocalyptic number.

20368944 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 20368944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29280368).

20368944 is an abundant number, since it is smaller than the sum of its proper divisors (38191792).

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

20368944 is a wasteful number, since it uses less digits than its factorization.

20368944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20368944 is about 4513.1966498259. The cubic root of 20368944 is about 273.1007155664.

It can be divided in two parts, 20368 and 944, that added together give a palindrome (21312).

The spelling of 20368944 in words is "twenty million, three hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 3823 5328 7646 11469 15292 22938 30584 34407 45876 61168 68814 91752 137628 141451 183504 275256 282902 424353 550512 565804 848706 1131608 1273059 1697412 2263216 2546118 3394824 5092236 6789648 10184472 20368944