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13060764 = 22371493
BaseRepresentation
bin110001110100…
…101010011100
3220120120000000
4301310222130
511320421024
61143534300
7216005013
oct61645234
926516000
1013060764
117410822
12445a390
132923a82
141a3da7a
15122ecc9
hexc74a9c

13060764 has 48 divisors (see below), whose sum is σ = 34302240. Its totient is φ = 4350672.

The previous prime is 13060753. The next prime is 13060769. The reversal of 13060764 is 46706031.

13060764 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13060769) 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, 8002 + ... + 9494.

It is an arithmetic number, because the mean of its divisors is an integer number (714630).

Almost surely, 213060764 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 13060764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151120).

13060764 is an abundant number, since it is smaller than the sum of its proper divisors (21241476).

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

13060764 is an equidigital number, since it uses as much as digits as its factorization.

13060764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13060764 is about 3613.9679024585. The cubic root of 13060764 is about 235.4992494601.

Adding to 13060764 its reverse (46706031), we get a palindrome (59766795).

It can be divided in two parts, 13060 and 764, that added together give a cube (13824 = 243).

The spelling of 13060764 in words is "thirteen million, sixty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1493 2187 2916 2986 4374 4479 5972 8748 8958 13437 17916 26874 40311 53748 80622 120933 161244 241866 362799 483732 725598 1088397 1451196 2176794 3265191 4353588 6530382 13060764