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20944332 = 2234127509
BaseRepresentation
bin100111111100…
…1010111001100
31110102002020000
41033321113030
520330204312
62024524300
7343011123
oct117712714
943362200
1020944332
1110905872
127020690
1344541c6
142ad2aba
151c8aadc
hex13f95cc

20944332 has 60 divisors (see below), whose sum is σ = 55292160. Its totient is φ = 6912864.

The previous prime is 20944309. The next prime is 20944367. The reversal of 20944332 is 23344902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20944296 and 20944305.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40894 + ... + 41402.

It is an arithmetic number, because the mean of its divisors is an integer number (921536).

Almost surely, 220944332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20944332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27646080).

20944332 is an abundant number, since it is smaller than the sum of its proper divisors (34347828).

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

20944332 is a wasteful number, since it uses less digits than its factorization.

20944332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20944332 is about 4576.4977876101. The cubic root of 20944332 is about 275.6484181130.

The spelling of 20944332 in words is "twenty million, nine hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 508 509 762 1018 1143 1524 1527 2036 2286 3054 3429 4572 4581 6108 6858 9162 10287 13716 13743 18324 20574 27486 41148 41229 54972 64643 82458 129286 164916 193929 258572 387858 581787 775716 1163574 1745361 2327148 3490722 5236083 6981444 10472166 20944332