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20193984 = 263235059
BaseRepresentation
bin100110100001…
…0001011000000
31101222221221100
41031002023000
520132201414
62000454400
7333434406
oct115021300
941887840
1020193984
1110443048
12691a400
134250805
142979476
151b8d609
hex13422c0

20193984 has 42 divisors (see below), whose sum is σ = 57884060. Its totient is φ = 6731136.

The previous prime is 20193967. The next prime is 20193991. The reversal of 20193984 is 48939102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16954 + ... + 18105.

Almost surely, 220193984 is an apocalyptic number.

20193984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20193984 is an abundant number, since it is smaller than the sum of its proper divisors (37690076).

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

20193984 is a wasteful number, since it uses less digits than its factorization.

20193984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35077 (or 35064 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20193984 is about 4493.7716897947. The cubic root of 20193984 is about 272.3165288568.

The spelling of 20193984 in words is "twenty million, one hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 35059 70118 105177 140236 210354 280472 315531 420708 560944 631062 841416 1121888 1262124 1682832 2243776 2524248 3365664 5048496 6731328 10096992 20193984