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20392944 = 24311132971
BaseRepresentation
bin100110111001…
…0101111110000
31102101001212020
41031302233300
520210033234
62005031440
7335223435
oct115625760
942331766
1020392944
1110569580
1269b5580
1342c0240
1429cbb8c
151bcc549
hex1372bf0

20392944 has 80 divisors (see below), whose sum is σ = 61912704. Its totient is φ = 5702400.

The previous prime is 20392943. The next prime is 20392951. The reversal of 20392944 is 44929302.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20392943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5379 + ... + 8349.

Almost surely, 220392944 is an apocalyptic number.

20392944 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 20392944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30956352).

20392944 is an abundant number, since it is smaller than the sum of its proper divisors (41519760).

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

20392944 is a wasteful number, since it uses less digits than its factorization.

20392944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 20392944 is about 4515.8547363705. The cubic root of 20392944 is about 273.2079350763.

The spelling of 20392944 in words is "twenty million, three hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 2971 3432 5942 6864 8913 11884 17826 23768 32681 35652 38623 47536 65362 71304 77246 98043 115869 130724 142608 154492 196086 231738 261448 308984 392172 424853 463476 522896 617968 784344 849706 926952 1274559 1568688 1699412 1853904 2549118 3398824 5098236 6797648 10196472 20392944