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20359944 = 23331121941
BaseRepresentation
bin100110110101…
…0101100001000
31102022101121000
41031222230020
520203004234
62004215000
7335025303
oct115525410
942271530
1020359944
1110546800
12699a460
1342ab207
1429bdb3a
151bc2899
hex136ab08

20359944 has 192 divisors, whose sum is σ = 67032000. Its totient is φ = 5702400.

The previous prime is 20359891. The next prime is 20359951. The reversal of 20359944 is 44995302.

20359944 is a `hidden beast` number, since 20 + 3 + 599 + 44 = 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 = 20359899 and 20359908.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 496564 + ... + 496604.

It is an arithmetic number, because the mean of its divisors is an integer number (349125).

Almost surely, 220359944 is an apocalyptic number.

20359944 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 20359944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33516000).

20359944 is an abundant number, since it is smaller than the sum of its proper divisors (46672056).

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

20359944 is a wasteful number, since it uses less digits than its factorization.

20359944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 20359944 is about 4512.1994636762. The cubic root of 20359944 is about 273.0604865371.

The spelling of 20359944 in words is "twenty million, three hundred fifty-nine thousand, nine hundred forty-four".