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20874080 = 255283461
BaseRepresentation
bin100111110100…
…0001101100000
31110021111212002
41033220031200
520320432310
62023223132
7342266243
oct117501540
943244762
1020874080
1110868007
126ba7aa8
13442b236
142ab525a
151c74da5
hex13e8360

20874080 has 48 divisors (see below), whose sum is σ = 49596624. Its totient is φ = 8302080.

The previous prime is 20874059. The next prime is 20874107. The reversal of 20874080 is 8047802.

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 7 ways as a sum of consecutive naturals, for example, 45050 + ... + 45510.

It is an arithmetic number, because the mean of its divisors is an integer number (1033263).

Almost surely, 220874080 is an apocalyptic number.

20874080 is a gapful number since it is divisible by the number (20) 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 20874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24798312).

20874080 is an abundant number, since it is smaller than the sum of its proper divisors (28722544).

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

20874080 is a wasteful number, since it uses less digits than its factorization.

20874080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 20874080 is about 4568.8160391944. The cubic root of 20874080 is about 275.3398772874.

The spelling of 20874080 in words is "twenty million, eight hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 461 566 922 1132 1415 1844 2264 2305 2830 3688 4528 4610 5660 7376 9056 9220 11320 14752 18440 22640 36880 45280 73760 130463 260926 521852 652315 1043704 1304630 2087408 2609260 4174816 5218520 10437040 20874080