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1406904 = 23331261
BaseRepresentation
bin101010111011110111000
32122110220120
411113132320
5330010104
650053240
714646522
oct5273670
92573816
101406904
11881034
1257a220
133a34b5
14288a12
151cbcd9
hex1577b8

1406904 has 48 divisors (see below), whose sum is σ = 3693960. Its totient is φ = 446400.

The previous prime is 1406897. The next prime is 1406927. The reversal of 1406904 is 4096041.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 23034 + ... + 23094.

21406904 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 1406904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846980).

1406904 is an abundant number, since it is smaller than the sum of its proper divisors (2287056).

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

1406904 is a wasteful number, since it uses less digits than its factorization.

1406904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1406904 is about 1186.1298411220. The cubic root of 1406904 is about 112.0524839053.

The spelling of 1406904 in words is "one million, four hundred six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 744 961 1464 1891 1922 2883 3782 3844 5673 5766 7564 7688 11346 11532 15128 22692 23064 45384 58621 117242 175863 234484 351726 468968 703452 1406904