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1429506 = 2321341149
BaseRepresentation
bin101011101000000000010
32200121220200
411131000002
5331221011
650350030
715102441
oct5350002
92617820
101429506
11897011
1258b316
133b0880
14292d58
151d3856
hex15d002

1429506 has 48 divisors (see below), whose sum is σ = 3439800. Its totient is φ = 426240.

The previous prime is 1429481. The next prime is 1429507. The reversal of 1429506 is 6059241.

1429506 = T208 + T209 + ... + T259.

1429506 = 142 + 152 + ... + 1622.

It can be written as a sum of positive squares in 4 ways, for example, as 308025 + 1121481 = 555^2 + 1059^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1429506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9520 + ... + 9668.

21429506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719900).

1429506 is an abundant number, since it is smaller than the sum of its proper divisors (2010294).

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

1429506 is a wasteful number, since it uses less digits than its factorization.

1429506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1429506 is about 1195.6195046920. The cubic root of 1429506 is about 112.6493424028.

The spelling of 1429506 in words is "one million, four hundred twenty-nine thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 149 234 246 298 369 447 533 738 894 1066 1341 1599 1937 2682 3198 3874 4797 5811 6109 9594 11622 12218 17433 18327 34866 36654 54981 79417 109962 158834 238251 476502 714753 1429506