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21378942 = 23213211433
BaseRepresentation
bin101000110001…
…1011101111110
31111020011101200
41101203131332
520433111232
62042120330
7346501164
oct121433576
944204350
1021378942
1111082352
1271b00a6
134576c80
142ba7234
151d2477c
hex146377e

21378942 has 48 divisors (see below), whose sum is σ = 50236368. Its totient is φ = 6531840.

The previous prime is 21378923. The next prime is 21378949. The reversal of 21378942 is 24987312.

It is a super-2 number, since 2×213789422 = 914118322078728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21378897 and 21378906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21378949) 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, 49158 + ... + 49590.

It is an arithmetic number, because the mean of its divisors is an integer number (1046591).

Almost surely, 221378942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21378942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25118184).

21378942 is an abundant number, since it is smaller than the sum of its proper divisors (28857426).

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

21378942 is a wasteful number, since it uses less digits than its factorization.

21378942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 662 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 21378942 is about 4623.7368004678. The cubic root of 21378942 is about 277.5420145784.

The spelling of 21378942 in words is "twenty-one million, three hundred seventy-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 211 234 422 433 633 866 1266 1299 1899 2598 2743 3798 3897 5486 5629 7794 8229 11258 16458 16887 24687 33774 49374 50661 91363 101322 182726 274089 548178 822267 1187719 1644534 2375438 3563157 7126314 10689471 21378942