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1406856 = 23311732
BaseRepresentation
bin101010111011110001000
32122110211210
411113132020
5330004411
650053120
714646423
oct5273610
92573753
101406856
11880aa0
1257a1a0
133a3479
142889ba
151cbca6
hex157788

1406856 has 48 divisors (see below), whose sum is σ = 3890160. Its totient is φ = 420480.

The previous prime is 1406849. The next prime is 1406857. The reversal of 1406856 is 6586041.

1406856 = T133 + T134 + ... + T220.

It is a plaindrome in base 16.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (1406857) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19236 + ... + 19308.

It is an arithmetic number, because the mean of its divisors is an integer number (81045).

21406856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945080).

1406856 is an abundant number, since it is smaller than the sum of its proper divisors (2483304).

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

1406856 is a wasteful number, since it uses less digits than its factorization.

1406856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1406856 is about 1186.1096070769. The cubic root of 1406856 is about 112.0512095752.

It can be divided in two parts, 140 and 6856, that added together give a palindrome (6996).

The spelling of 1406856 in words is "one million, four hundred six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 5329 6424 9636 10658 15987 19272 21316 31974 42632 58619 63948 117238 127896 175857 234476 351714 468952 703428 1406856