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20379944 = 23131271543
BaseRepresentation
bin100110110111…
…1100100101000
31102100102000202
41031233210220
520204124234
62004451332
7335140514
oct115574450
942312022
1020379944
111055a832
1269a9b48
1342b7350
1429c7144
151bc877e
hex136f928

20379944 has 32 divisors (see below), whose sum is σ = 41502720. Its totient is φ = 9326016.

The previous prime is 20379929. The next prime is 20379971. The reversal of 20379944 is 44997302.

It is a junction number, because it is equal to n+sod(n) for n = 20379898 and 20379907.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12437 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (1296960).

Almost surely, 220379944 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 20379944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20751360).

20379944 is an abundant number, since it is smaller than the sum of its proper divisors (21122776).

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

20379944 is a wasteful number, since it uses less digits than its factorization.

20379944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 20379944 is about 4514.4151337687. The cubic root of 20379944 is about 273.1498682906.

The spelling of 20379944 in words is "twenty million, three hundred seventy-nine thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 1016 1543 1651 3086 3302 6172 6604 12344 13208 20059 40118 80236 160472 195961 391922 783844 1567688 2547493 5094986 10189972 20379944