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13040082 = 2331129757
BaseRepresentation
bin110001101111…
…100111010010
3220112111122000
4301233213102
511314240312
61143254430
7215560506
oct61574722
926474560
1013040082
1173a7230
12444a416
132917533
141a36306
151228adc
hexc6f9d2

13040082 has 64 divisors (see below), whose sum is σ = 32745600. Its totient is φ = 3810240.

The previous prime is 13040081. The next prime is 13040089. The reversal of 13040082 is 28004031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13040081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16848 + ... + 17604.

It is an arithmetic number, because the mean of its divisors is an integer number (511650).

Almost surely, 213040082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13040082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16372800).

13040082 is an abundant number, since it is smaller than the sum of its proper divisors (19705518).

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

13040082 is a wasteful number, since it uses less digits than its factorization.

13040082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13040082 is about 3611.1053709356. The cubic root of 13040082 is about 235.3748777505.

The spelling of 13040082 in words is "thirteen million, forty thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 757 783 957 1514 1566 1914 2271 2871 4542 5742 6813 8327 8613 13626 16654 17226 20439 21953 24981 40878 43906 49962 65859 74943 131718 149886 197577 224829 241483 395154 449658 482966 592731 724449 1185462 1448898 2173347 4346694 6520041 13040082