Search a number
-
+
13120947 = 34773317
BaseRepresentation
bin110010000011…
…010110110011
3220200121120000
4302003112303
511324332242
61145121043
7216345330
oct62032663
926617500
1013120947
117451a64
124489183
132945298
141a57987
151242a4c
hexc835b3

13120947 has 40 divisors (see below), whose sum is σ = 22778976. Its totient is φ = 7371648.

The previous prime is 13120909. The next prime is 13120949. The reversal of 13120947 is 74902131.

13120947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13120947 - 26 = 13120883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13120947.

It is not an unprimeable number, because it can be changed into a prime (13120949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41233 + ... + 41549.

Almost surely, 213120947 is an apocalyptic number.

13120947 is a deficient number, since it is larger than the sum of its proper divisors (9658029).

13120947 is an equidigital number, since it uses as much as digits as its factorization.

13120947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13120947 is about 3622.2847762151. The cubic root of 13120947 is about 235.8604161178.

The spelling of 13120947 in words is "thirteen million, one hundred twenty thousand, nine hundred forty-seven".

Divisors: 1 3 7 9 21 27 63 73 81 189 219 317 511 567 657 951 1533 1971 2219 2853 4599 5913 6657 8559 13797 19971 23141 25677 41391 59913 69423 161987 179739 208269 485961 624807 1457883 1874421 4373649 13120947