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430140 = 223567107
BaseRepresentation
bin1101001000000111100
3210212001010
41221000330
5102231030
613115220
73441024
oct1510074
9725033
10430140
11274197
12188b10
13120a29
14b2a84
15876b0
hex6903c

430140 has 48 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 111936.

The previous prime is 430139. The next prime is 430147. The reversal of 430140 is 41034.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430147) 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, 3967 + ... + 4073.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2430140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896).

430140 is an abundant number, since it is smaller than the sum of its proper divisors (803652).

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

430140 is a wasteful number, since it uses less digits than its factorization.

430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

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

The square root of 430140 is about 655.8505927420. The cubic root of 430140 is about 75.4866137108.

Subtracting from 430140 its sum of digits (12), we obtain a triangular number (430128 = T927).

Adding to 430140 its reverse (41034), we get a palindrome (471174).

The spelling of 430140 in words is "four hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 107 134 201 214 268 321 335 402 428 535 642 670 804 1005 1070 1284 1340 1605 2010 2140 3210 4020 6420 7169 14338 21507 28676 35845 43014 71690 86028 107535 143380 215070 430140