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1429400 = 235271021
BaseRepresentation
bin101011100111110011000
32200121202202
411130332120
5331220100
650345332
715102230
oct5347630
92617682
101429400
11896a25
1258b248
133b07cb
14292cc0
151d37d5
hex15cf98

1429400 has 48 divisors (see below), whose sum is σ = 3801840. Its totient is φ = 489600.

The previous prime is 1429399. The next prime is 1429403. The reversal of 1429400 is 49241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 890 + ... + 1910.

It is an arithmetic number, because the mean of its divisors is an integer number (79205).

21429400 is an apocalyptic number.

1429400 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 1429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900920).

1429400 is an abundant number, since it is smaller than the sum of its proper divisors (2372440).

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

1429400 is a wasteful number, since it uses less digits than its factorization.

1429400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1429400 is about 1195.5751753863. The cubic root of 1429400 is about 112.6465579617.

The spelling of 1429400 in words is "one million, four hundred twenty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1021 1400 2042 4084 5105 7147 8168 10210 14294 20420 25525 28588 35735 40840 51050 57176 71470 102100 142940 178675 204200 285880 357350 714700 1429400