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1429000 = 23531429
BaseRepresentation
bin101011100111000001000
32200121012221
411130320020
5331212000
650343424
715101116
oct5347010
92617187
101429000
118966a1
1258ab74
133b0581
14292ab6
151d361a
hex15ce08

1429000 has 32 divisors (see below), whose sum is σ = 3346200. Its totient is φ = 571200.

The previous prime is 1428997. The next prime is 1429027. The reversal of 1429000 is 9241.

It can be written as a sum of positive squares in 4 ways, for example, as 133956 + 1295044 = 366^2 + 1138^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286 + ... + 1714.

21429000 is an apocalyptic number.

1429000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673100).

1429000 is an abundant number, since it is smaller than the sum of its proper divisors (1917200).

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

1429000 is a wasteful number, since it uses less digits than its factorization.

1429000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1429000 is about 1195.4078801815. The cubic root of 1429000 is about 112.6360493971.

The spelling of 1429000 in words is "one million, four hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1429 2858 5716 7145 11432 14290 28580 35725 57160 71450 142900 178625 285800 357250 714500 1429000