Search a number
-
+
4131432 = 233331617
BaseRepresentation
bin1111110000101001101000
321202220021000
433300221220
52024201212
6224315000
750054664
oct17605150
97686230
104131432
112372008
121472a60
13b18646
147978a4
155691dc
hex3f0a68

4131432 has 64 divisors (see below), whose sum is σ = 11865600. Its totient is φ = 1330560.

The previous prime is 4131409. The next prime is 4131443. The reversal of 4131432 is 2341314.

4131432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 6388 + ... + 7004.

It is an arithmetic number, because the mean of its divisors is an integer number (185400).

Almost surely, 24131432 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 4131432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932800).

4131432 is an abundant number, since it is smaller than the sum of its proper divisors (7734168).

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

4131432 is a wasteful number, since it uses less digits than its factorization.

4131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4131432 is about 2032.5924333225. The cubic root of 4131432 is about 160.4600302252.

Adding to 4131432 its reverse (2341314), we get a palindrome (6472746).

The spelling of 4131432 in words is "four million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 617 744 837 1116 1234 1674 1851 2232 2468 3348 3702 4936 5553 6696 7404 11106 14808 16659 19127 22212 33318 38254 44424 57381 66636 76508 114762 133272 153016 172143 229524 344286 459048 516429 688572 1032858 1377144 2065716 4131432