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20821944 = 23311136067
BaseRepresentation
bin100111101101…
…1011110111000
31110011212100010
41033123132320
520312300234
62022141520
7341661243
oct117333670
943155303
1020821944
1110831920
126b818a0
1344105a0
142aa025a
151c646e9
hex13db7b8

20821944 has 64 divisors (see below), whose sum is σ = 61165440. Its totient is φ = 5823360.

The previous prime is 20821909. The next prime is 20821949. The reversal of 20821944 is 44912802.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20821949) 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, 399 + ... + 6465.

It is an arithmetic number, because the mean of its divisors is an integer number (955710).

Almost surely, 220821944 is an apocalyptic number.

20821944 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 20821944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30582720).

20821944 is an abundant number, since it is smaller than the sum of its proper divisors (40343496).

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

20821944 is a wasteful number, since it uses less digits than its factorization.

20821944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 20821944 is about 4563.1068363561. The cubic root of 20821944 is about 275.1104526009.

The spelling of 20821944 in words is "twenty million, eight hundred twenty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 6067 12134 18201 24268 36402 48536 66737 72804 78871 133474 145608 157742 200211 236613 266948 315484 400422 473226 533896 630968 800844 867581 946452 1601688 1735162 1892904 2602743 3470324 5205486 6940648 10410972 20821944