Search a number
-
+
1430040 = 233517701
BaseRepresentation
bin101011101001000011000
32200122122110
411131020120
5331230130
650352320
715104133
oct5351030
92618573
101430040
11897457
1258b6a0
133b0ba1
1429321a
151d3ab0
hex15d218

1430040 has 64 divisors (see below), whose sum is σ = 4548960. Its totient is φ = 358400.

The previous prime is 1430027. The next prime is 1430041. The reversal of 1430040 is 400341.

1430040 = 102 + 112 + ... + 1622.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1429998 and 1430025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690 + ... + 2390.

21430040 is an apocalyptic number.

1430040 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 1430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274480).

1430040 is an abundant number, since it is smaller than the sum of its proper divisors (3118920).

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

1430040 is a wasteful number, since it uses less digits than its factorization.

1430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1430040 is about 1195.8427990334. The cubic root of 1430040 is about 112.6633675882.

Adding to 1430040 its reverse (400341), we get a palindrome (1830381).

The spelling of 1430040 in words is "one million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 701 1020 1402 2040 2103 2804 3505 4206 5608 7010 8412 10515 11917 14020 16824 21030 23834 28040 35751 42060 47668 59585 71502 84120 95336 119170 143004 178755 238340 286008 357510 476680 715020 1430040