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20046384 = 2432731907
BaseRepresentation
bin100110001111…
…0001000110000
31101201110110200
41030132020300
520112441014
61553355200
7332251161
oct114361060
941643420
1020046384
1110352166
126868b00
1341cb587
14293b768
151b5ea09
hex131e230

20046384 has 60 divisors (see below), whose sum is σ = 56900376. Its totient is φ = 6587136.

The previous prime is 20046373. The next prime is 20046401. The reversal of 20046384 is 48364002.

20046384 is a `hidden beast` number, since 20 + 0 + 4 + 638 + 4 = 666.

It is a super-2 number, since 2×200463842 = 803715022950912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9559 + ... + 11465.

Almost surely, 220046384 is an apocalyptic number.

20046384 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 20046384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28450188).

20046384 is an abundant number, since it is smaller than the sum of its proper divisors (36853992).

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

20046384 is a wasteful number, since it uses less digits than its factorization.

20046384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20046384 is about 4477.3188405563. The cubic root of 20046384 is about 271.6514422238.

The spelling of 20046384 in words is "twenty million, forty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 1907 2628 3504 3814 5256 5721 7628 10512 11442 15256 17163 22884 30512 34326 45768 68652 91536 137304 139211 274608 278422 417633 556844 835266 1113688 1252899 1670532 2227376 2505798 3341064 5011596 6682128 10023192 20046384