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20814378 = 231331579
BaseRepresentation
bin100111101100…
…1101000101010
31110011110221220
41033121220222
520312030003
62022042510
7341630214
oct117315052
943143856
1020814378
1110827172
126b79436
13440a000
142a9b5b4
151c62353
hex13d9a2a

20814378 has 32 divisors (see below), whose sum is σ = 45124800. Its totient is φ = 6400368.

The previous prime is 20814377. The next prime is 20814397. The reversal of 20814378 is 87341802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20814371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12393 + ... + 13971.

It is an arithmetic number, because the mean of its divisors is an integer number (1410150).

Almost surely, 220814378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20814378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22562400).

20814378 is an abundant number, since it is smaller than the sum of its proper divisors (24310422).

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

20814378 is a wasteful number, since it uses less digits than its factorization.

20814378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 20814378 is about 4562.2777206128. The cubic root of 20814378 is about 275.0771265764.

The spelling of 20814378 in words is "twenty million, eight hundred fourteen thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 1579 2197 3158 4394 4737 6591 9474 13182 20527 41054 61581 123162 266851 533702 800553 1601106 3469063 6938126 10407189 20814378