Search a number
-
+
13006280 = 235746451
BaseRepresentation
bin110001100111…
…010111001000
3220110210021002
4301213113020
511312200110
61142434132
7215360120
oct61472710
926423232
1013006280
1173838a1
124432948
132905031
141a27c80
15121daa5
hexc675c8

13006280 has 32 divisors (see below), whose sum is σ = 33445440. Its totient is φ = 4459200.

The previous prime is 13006271. The next prime is 13006283. The reversal of 13006280 is 8260031.

13006280 is digitally balanced in base 2, because in such base 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 (20).

It is not an unprimeable number, because it can be changed into a prime (13006283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22946 + ... + 23505.

It is an arithmetic number, because the mean of its divisors is an integer number (1045170).

Almost surely, 213006280 is an apocalyptic number.

13006280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006280 is an abundant number, since it is smaller than the sum of its proper divisors (20439160).

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

13006280 is a wasteful number, since it uses less digits than its factorization.

13006280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46469 (or 46465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13006280 is about 3606.4220496220. The cubic root of 13006280 is about 235.1713251944.

The spelling of 13006280 in words is "thirteen million, six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 46451 92902 185804 232255 325157 371608 464510 650314 929020 1300628 1625785 1858040 2601256 3251570 6503140 13006280