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20093832 = 2334112819
BaseRepresentation
bin100110010100…
…1101110001000
31101210212120000
41030221232020
520121000312
61554403000
7332536413
oct114515610
941725500
1020093832
1110384880
126890460
134217055
142950b7a
151b6dadc
hex1329b88

20093832 has 80 divisors (see below), whose sum is σ = 61419600. Its totient is φ = 6086880.

The previous prime is 20093791. The next prime is 20093867. The reversal of 20093832 is 23839002.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20093796 and 20093805.

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 19 ways as a sum of consecutive naturals, for example, 5719 + ... + 8537.

It is an arithmetic number, because the mean of its divisors is an integer number (767745).

Almost surely, 220093832 is an apocalyptic number.

20093832 is a gapful number since it is divisible by the number (22) 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 20093832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30709800).

20093832 is an abundant number, since it is smaller than the sum of its proper divisors (41325768).

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

20093832 is a wasteful number, since it uses less digits than its factorization.

20093832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20093832 is about 4482.6144157177. The cubic root of 20093832 is about 271.8655982480.

The spelling of 20093832 in words is "twenty million, ninety-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 2819 3564 5638 7128 8457 11276 16914 22552 25371 31009 33828 50742 62018 67656 76113 93027 101484 124036 152226 186054 202968 228339 248072 279081 304452 372108 456678 558162 608904 744216 837243 913356 1116324 1674486 1826712 2232648 2511729 3348972 5023458 6697944 10046916 20093832