Search a number
-
+
432140 = 225173141
BaseRepresentation
bin1101001100000001100
3210221210012
41221200030
5102312030
613132352
73446612
oct1514014
9727705
10432140
11275745
1218a0b8
13121907
14b36b2
1588095
hex6980c

432140 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 153600.

The previous prime is 432139. The next prime is 432143. The reversal of 432140 is 41234.

Adding to 432140 its reverse (41234), we get a palindrome (473374).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 432140.

It is not an unprimeable number, because it can be changed into a prime (432143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10520 + ... + 10560.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2432140 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 432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

432140 is an abundant number, since it is smaller than the sum of its proper divisors (583924).

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

432140 is a wasteful number, since it uses less digits than its factorization.

432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 432140 is about 657.3735619874. The cubic root of 432140 is about 75.6034282667.

The spelling of 432140 in words is "four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 41 62 68 82 85 124 155 164 170 205 310 340 410 527 620 697 820 1054 1271 1394 2108 2542 2635 2788 3485 5084 5270 6355 6970 10540 12710 13940 21607 25420 43214 86428 108035 216070 432140