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1429440 = 26351489
BaseRepresentation
bin101011100111111000000
32200121211020
411130333000
5331220230
650345440
715102315
oct5347700
92617736
101429440
11896a61
1258b280
133b082c
14292d0c
151d3810
hex15cfc0

1429440 has 56 divisors (see below), whose sum is σ = 4541520. Its totient is φ = 380928.

The previous prime is 1429423. The next prime is 1429451. The reversal of 1429440 is 449241.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1429440.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 216 + ... + 1704.

21429440 is an apocalyptic number.

1429440 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 1429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270760).

1429440 is an abundant number, since it is smaller than the sum of its proper divisors (3112080).

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

1429440 is a wasteful number, since it uses less digits than its factorization.

1429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1429440 is about 1195.5919036193. The cubic root of 1429440 is about 112.6476087104.

The spelling of 1429440 in words is "one million, four hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1489 2978 4467 5956 7445 8934 11912 14890 17868 22335 23824 29780 35736 44670 47648 59560 71472 89340 95296 119120 142944 178680 238240 285888 357360 476480 714720 1429440