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13002340 = 22513431163
BaseRepresentation
bin110001100110…
…011001100100
3220110120212011
4301212121210
511312033330
61142404004
7215342461
oct61463144
926416764
1013002340
11738093a
124430604
1329032c0
141a26668
15121c82a
hexc66664

13002340 has 48 divisors (see below), whose sum is σ = 30115008. Its totient is φ = 4685184.

The previous prime is 13002323. The next prime is 13002377. The reversal of 13002340 is 4320031.

It is a Harshad number since it is a multiple of its sum of digits (13).

13002340 is a modest number, since divided by 2340 gives 1300 as remainder.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13002340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10599 + ... + 11761.

It is an arithmetic number, because the mean of its divisors is an integer number (627396).

Almost surely, 213002340 is an apocalyptic number.

13002340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057504).

13002340 is an abundant number, since it is smaller than the sum of its proper divisors (17112668).

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

13002340 is a wasteful number, since it uses less digits than its factorization.

13002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 13002340 is about 3605.8757604776. The cubic root of 13002340 is about 235.1475759338.

Adding to 13002340 its reverse (4320031), we get a palindrome (17322371).

The spelling of 13002340 in words is "thirteen million, two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 1163 2236 2326 2795 4652 5590 5815 11180 11630 15119 23260 30238 50009 60476 75595 100018 151190 200036 250045 302380 500090 650117 1000180 1300234 2600468 3250585 6501170 13002340