Search a number
-
+
103230432 = 2532536763
BaseRepresentation
bin1100010011100…
…10101111100000
321012020122112100
412021302233200
5202411333212
614124330400
72362305234
oct611625740
9235218470
10103230432
11532a8608
122a6a3a00
1318504cc6
14d9d25c4
1590e1bdc
hex6272be0

103230432 has 72 divisors (see below), whose sum is σ = 299144664. Its totient is φ = 33755904.

The previous prime is 103230431. The next prime is 103230437. The reversal of 103230432 is 234032301.

103230432 is a `hidden beast` number, since 1 + 0 + 3 + 230 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103230431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11883 + ... + 18645.

It is an arithmetic number, because the mean of its divisors is an integer number (4154787).

Almost surely, 2103230432 is an apocalyptic number.

103230432 is a gapful number since it is divisible by the number (12) 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 103230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149572332).

103230432 is an abundant number, since it is smaller than the sum of its proper divisors (195914232).

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

103230432 is a wasteful number, since it uses less digits than its factorization.

103230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 103230432 is about 10160.2377924929. The cubic root of 103230432 is about 469.1041211022.

Adding to 103230432 its reverse (234032301), we get a palindrome (337262733).

The spelling of 103230432 in words is "one hundred three million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 6763 7632 13526 15264 20289 27052 40578 54104 60867 81156 108208 121734 162312 216416 243468 324624 358439 486936 649248 716878 973872 1075317 1433756 1947744 2150634 2867512 3225951 4301268 5735024 6451902 8602536 11470048 12903804 17205072 25807608 34410144 51615216 103230432