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13023140 = 2251323853
BaseRepresentation
bin110001101011…
…011110100100
3220111122101112
4301223132210
511313220030
61143044152
7215460224
oct61533644
926448345
1013023140
117395529
124440658
13290c900
141a30084
151223a95
hexc6b7a4

13023140 has 36 divisors (see below), whose sum is σ = 29621844. Its totient is φ = 4807296.

The previous prime is 13023133. The next prime is 13023167. The reversal of 13023140 is 4132031.

It can be written as a sum of positive squares in 6 ways, for example, as 178084 + 12845056 = 422^2 + 3584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1454 + ... + 5306.

It is an arithmetic number, because the mean of its divisors is an integer number (822829).

Almost surely, 213023140 is an apocalyptic number.

13023140 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 13023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810922).

13023140 is an abundant number, since it is smaller than the sum of its proper divisors (16598704).

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

13023140 is a wasteful number, since it uses less digits than its factorization.

13023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13023140 is about 3608.7587893901. The cubic root of 13023140 is about 235.2728986012.

Adding to 13023140 its reverse (4132031), we get a palindrome (17155171).

The spelling of 13023140 in words is "thirteen million, twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 3853 7706 15412 19265 38530 50089 77060 100178 200356 250445 500890 651157 1001780 1302314 2604628 3255785 6511570 13023140