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20382900 = 2235267943
BaseRepresentation
bin100110111000…
…0010010110100
31102100120002020
41031300102310
520204223100
62004513140
7335152236
oct115602264
942316066
1020382900
1110561a7a
1269ab7b0
1342b87b5
1429c8256
151bc95a0
hex13704b4

20382900 has 36 divisors (see below), whose sum is σ = 58975392. Its totient is φ = 5435360.

The previous prime is 20382889. The next prime is 20382917. The reversal of 20382900 is 928302.

It is a super-2 number, since 2×203829002 = 830925224820000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 33672 + ... + 34271.

Almost surely, 220382900 is an apocalyptic number.

20382900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20382900 is an abundant number, since it is smaller than the sum of its proper divisors (38592492).

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

20382900 is a wasteful number, since it uses less digits than its factorization.

20382900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67960 (or 67953 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20382900 is about 4514.7425175751. The cubic root of 20382900 is about 273.1630739529.

The spelling of 20382900 in words is "twenty million, three hundred eighty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 67943 135886 203829 271772 339715 407658 679430 815316 1019145 1358860 1698575 2038290 3397150 4076580 5095725 6794300 10191450 20382900