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20891442 = 23111321873
BaseRepresentation
bin100111110110…
…0011100110010
31110022101200010
41033230130302
520322011232
62023435350
7342400665
oct117543462
943271603
1020891442
111087a060
126bb5b56
134436100
142abb6dc
151c7a0cc
hex13ec732

20891442 has 48 divisors (see below), whose sum is σ = 49383648. Its totient is φ = 5840640.

The previous prime is 20891413. The next prime is 20891443. The reversal of 20891442 is 24419802.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20891443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10218 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (1028826).

Almost surely, 220891442 is an apocalyptic number.

20891442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20891442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24691824).

20891442 is an abundant number, since it is smaller than the sum of its proper divisors (28492206).

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

20891442 is a wasteful number, since it uses less digits than its factorization.

20891442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 20891442 is about 4570.7156988813. The cubic root of 20891442 is about 275.4161940429.

The spelling of 20891442 in words is "twenty million, eight hundred ninety-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 1873 3718 3746 5577 5619 11154 11238 20603 24349 41206 48698 61809 73047 123618 146094 267839 316537 535678 633074 803517 949611 1607034 1899222 3481907 6963814 10445721 20891442