Search a number
-
+
13022964 = 2233373259
BaseRepresentation
bin110001101011…
…011011110100
3220111122011000
4301223123310
511313213324
61143043300
7215456553
oct61533364
926448130
1013022964
117395389
124440530
13290c7c6
141a2dd9a
1512239c9
hexc6b6f4

13022964 has 48 divisors (see below), whose sum is σ = 34686400. Its totient is φ = 4222368.

The previous prime is 13022963. The next prime is 13023013. The reversal of 13022964 is 46922031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022963) 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, 2367 + ... + 5625.

Almost surely, 213022964 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 13022964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17343200).

13022964 is an abundant number, since it is smaller than the sum of its proper divisors (21663436).

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

13022964 is a wasteful number, since it uses less digits than its factorization.

13022964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13022964 is about 3608.7344041921. The cubic root of 13022964 is about 235.2718387386.

Adding to 13022964 its reverse (46922031), we get a palindrome (59944995).

The spelling of 13022964 in words is "thirteen million, twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3259 3996 6518 9777 13036 19554 29331 39108 58662 87993 117324 120583 175986 241166 351972 361749 482332 723498 1085247 1446996 2170494 3255741 4340988 6511482 13022964