Search a number
-
+
1406646 = 23419457
BaseRepresentation
bin101010111011010110110
32122110120000
411113122312
5330003041
650052130
714646003
oct5273266
92573500
101406646
1188091a
1257a046
133a3347
142888aa
151cbbb6
hex1576b6

1406646 has 40 divisors (see below), whose sum is σ = 3325080. Its totient is φ = 443232.

The previous prime is 1406633. The next prime is 1406651. The reversal of 1406646 is 6466041.

1406646 is a `hidden beast` number, since 14 + 0 + 6 + 646 = 666.

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

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2850 + ... + 3306.

It is an arithmetic number, because the mean of its divisors is an integer number (83127).

21406646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662540).

1406646 is an abundant number, since it is smaller than the sum of its proper divisors (1918434).

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

1406646 is a wasteful number, since it uses less digits than its factorization.

1406646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1406646 is about 1186.0210790707. The cubic root of 1406646 is about 112.0456340401.

It can be divided in two parts, 140 and 6646, that added together give a triangular number (6786 = T116).

The spelling of 1406646 in words is "one million, four hundred six thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 457 513 914 1026 1371 1539 2742 3078 4113 8226 8683 12339 17366 24678 26049 37017 52098 74034 78147 156294 234441 468882 703323 1406646