Search a number
-
+
10380546 = 23211103509
BaseRepresentation
bin100111100110…
…010100000010
3201112101102200
4213212110002
510124134141
61010254030
7154142661
oct47462402
921471380
1010380546
115950070
123587316
1321c5b47
141542dd8
15da0ab6
hex9e6502

10380546 has 48 divisors (see below), whose sum is σ = 24822720. Its totient is φ = 3108960.

The previous prime is 10380541. The next prime is 10380547. The reversal of 10380546 is 64508301.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10380541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20140 + ... + 20648.

It is an arithmetic number, because the mean of its divisors is an integer number (517140).

Almost surely, 210380546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10380546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411360).

10380546 is an abundant number, since it is smaller than the sum of its proper divisors (14442174).

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

10380546 is a wasteful number, since it uses less digits than its factorization.

10380546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10380546 is about 3221.8854728249. The cubic root of 10380546 is about 218.1423893712.

Adding to 10380546 its reverse (64508301), we get a palindrome (74888847).

The spelling of 10380546 in words is "ten million, three hundred eighty thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 509 618 927 1018 1133 1527 1854 2266 3054 3399 4581 5599 6798 9162 10197 11198 16797 20394 33594 50391 52427 100782 104854 157281 314562 471843 576697 943686 1153394 1730091 3460182 5190273 10380546