Search a number
-
+
10324200 = 2335217207
BaseRepresentation
bin100111011000…
…100011101000
3201102112010210
4213120203220
510120333300
61005141120
7153516465
oct47304350
921375123
1010324200
1159117a7
12355a7a0
1321a62c3
14152a66c
15d8e050
hex9d88e8

10324200 has 48 divisors (see below), whose sum is σ = 32006880. Its totient is φ = 2752960.

The previous prime is 10324177. The next prime is 10324207. The reversal of 10324200 is 242301.

It is a super-3 number, since 3×103242003 (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10324207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8004 + ... + 9203.

It is an arithmetic number, because the mean of its divisors is an integer number (666810).

Almost surely, 210324200 is an apocalyptic number.

10324200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10324200 is an abundant number, since it is smaller than the sum of its proper divisors (21682680).

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

10324200 is a wasteful number, since it uses less digits than its factorization.

10324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17226 (or 17217 counting only the distinct ones).

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

The square root of 10324200 is about 3213.1293157917. The cubic root of 10324200 is about 217.7469779973.

Adding to 10324200 its reverse (242301), we get a palindrome (10566501).

The spelling of 10324200 in words is "ten million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 17207 34414 51621 68828 86035 103242 137656 172070 206484 258105 344140 412968 430175 516210 688280 860350 1032420 1290525 1720700 2064840 2581050 3441400 5162100 10324200