Search a number
-
+
13012764 = 2232961613
BaseRepresentation
bin110001101000…
…111100011100
3220111010011020
4301220330130
511312402024
61142524140
7215415042
oct61507434
926433136
1013012764
117388756
124436650
132907c7b
141a2a392
151220979
hexc68f1c

13012764 has 48 divisors (see below), whose sum is σ = 31977120. Its totient is φ = 4112640.

The previous prime is 13012759. The next prime is 13012787. The reversal of 13012764 is 46721031.

13012764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20922 + ... + 21534.

It is an arithmetic number, because the mean of its divisors is an integer number (666190).

Almost surely, 213012764 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 13012764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988560).

13012764 is an abundant number, since it is smaller than the sum of its proper divisors (18964356).

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

13012764 is a wasteful number, since it uses less digits than its factorization.

13012764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13012764 is about 3607.3208895245. The cubic root of 13012764 is about 235.2103985638.

Adding to 13012764 its reverse (46721031), we get a palindrome (59733795).

The spelling of 13012764 in words is "thirteen million, twelve thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 613 732 1226 1769 1839 2452 3538 3678 5307 7076 7356 10614 17777 21228 35554 37393 53331 71108 74786 106662 112179 149572 213324 224358 448716 1084397 2168794 3253191 4337588 6506382 13012764