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20764944 = 243371677
BaseRepresentation
bin100111100110…
…1100100010000
31110001222011000
41033031210100
520303434234
62021022000
7341333124
oct117154420
943058130
1020764944
11107a3012
126b54900
1343c0665
142a87584
151c52899
hex13cd910

20764944 has 80 divisors (see below), whose sum is σ = 60531840. Its totient is φ = 6814080.

The previous prime is 20764943. The next prime is 20764951. The reversal of 20764944 is 44946702.

20764944 is a `hidden beast` number, since 2 + 0 + 7 + 649 + 4 + 4 = 666.

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 = 20764899 and 20764908.

It is not an unprimeable number, because it can be changed into a prime (20764943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30334 + ... + 31010.

It is an arithmetic number, because the mean of its divisors is an integer number (756648).

Almost surely, 220764944 is an apocalyptic number.

20764944 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 20764944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30265920).

20764944 is an abundant number, since it is smaller than the sum of its proper divisors (39766896).

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

20764944 is a wasteful number, since it uses less digits than its factorization.

20764944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 20764944 is about 4556.8568114436. The cubic root of 20764944 is about 274.8591852078.

The spelling of 20764944 in words is "twenty million, seven hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 677 852 1136 1278 1354 1704 1917 2031 2556 2708 3408 3834 4062 5112 5416 6093 7668 8124 10224 10832 12186 15336 16248 18279 24372 30672 32496 36558 48067 48744 73116 96134 97488 144201 146232 192268 288402 292464 384536 432603 576804 769072 865206 1153608 1297809 1730412 2307216 2595618 3460824 5191236 6921648 10382472 20764944