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20384140 = 2257145601
BaseRepresentation
bin100110111000…
…0100110001100
31102100121210011
41031300212030
520204243030
62004523004
7335155660
oct115604614
942317704
1020384140
11105629a7
1269b0464
1342b922a
1429c88a0
151bc9b2a
hex137098c

20384140 has 24 divisors (see below), whose sum is σ = 48922272. Its totient is φ = 6988800.

The previous prime is 20384113. The next prime is 20384149. The reversal of 20384140 is 4148302.

It is not an unprimeable number, because it can be changed into a prime (20384149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 72661 + ... + 72940.

It is an arithmetic number, because the mean of its divisors is an integer number (2038428).

Almost surely, 220384140 is an apocalyptic number.

20384140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20384140 is an abundant number, since it is smaller than the sum of its proper divisors (28538132).

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

20384140 is a wasteful number, since it uses less digits than its factorization.

20384140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145617 (or 145615 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 20384140 is about 4514.8798433624. The cubic root of 20384140 is about 273.1686131605.

The spelling of 20384140 in words is "twenty million, three hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 145601 291202 582404 728005 1019207 1456010 2038414 2912020 4076828 5096035 10192070 20384140