Search a number
-
+
201432 = 233711109
BaseRepresentation
bin110001001011011000
3101020022110
4301023120
522421212
64152320
71466160
oct611330
9336273
10201432
11128380
12986a0
13708ba
14535a0
153ea3c
hex312d8

201432 has 64 divisors (see below), whose sum is σ = 633600. Its totient is φ = 51840.

The previous prime is 201413. The next prime is 201437. The reversal of 201432 is 234102.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 201432.

It is not an unprimeable number, because it can be changed into a prime (201437) 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, 1794 + ... + 1902.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2201432 is an apocalyptic number.

201432 is a gapful number since it is divisible by the number (22) 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 201432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316800).

201432 is an abundant number, since it is smaller than the sum of its proper divisors (432168).

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

201432 is a wasteful number, since it uses less digits than its factorization.

201432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

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

The square root of 201432 is about 448.8117645517. The cubic root of 201432 is about 58.6195960819.

Adding to 201432 its reverse (234102), we get a palindrome (435534).

The spelling of 201432 in words is "two hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 109 132 154 168 218 231 264 308 327 436 462 616 654 763 872 924 1199 1308 1526 1848 2289 2398 2616 3052 3597 4578 4796 6104 7194 8393 9156 9592 14388 16786 18312 25179 28776 33572 50358 67144 100716 201432