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20404944 = 2432731653
BaseRepresentation
bin100110111010…
…1101011010000
31102101200022200
41031311223100
520210424234
62005203200
7335303430
oct115655320
942350280
1020404944
111057759a
126a00500
1342c5841
1429d22c0
151bd0d99
hex1375ad0

20404944 has 120 divisors (see below), whose sum is σ = 67471872. Its totient is φ = 5633280.

The previous prime is 20404939. The next prime is 20404949. The reversal of 20404944 is 44940402.

It is an interprime number because it is at equal distance from previous prime (20404939) and next prime (20404949).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20404949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30922 + ... + 31574.

Almost surely, 220404944 is an apocalyptic number.

20404944 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 20404944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33735936).

20404944 is an abundant number, since it is smaller than the sum of its proper divisors (47066928).

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

20404944 is a wasteful number, since it uses less digits than its factorization.

20404944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20404944 is about 4517.1831930972. The cubic root of 20404944 is about 273.2615132873.

The spelling of 20404944 in words is "twenty million, four hundred four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 653 744 868 1008 1116 1302 1306 1488 1736 1953 1959 2232 2604 2612 3472 3906 3918 4464 4571 5208 5224 5877 7812 7836 9142 10416 10448 11754 13713 15624 15672 18284 20243 23508 27426 31248 31344 36568 40486 41139 47016 54852 60729 73136 80972 82278 94032 109704 121458 141701 161944 164556 182187 219408 242916 283402 323888 329112 364374 425103 485832 566804 658224 728748 850206 971664 1133608 1275309 1457496 1700412 2267216 2550618 2914992 3400824 5101236 6801648 10202472 20404944