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13164039 = 35771109
BaseRepresentation
bin110010001101…
…111000000111
3220202210200000
4302031320013
511332222124
61150052343
7216615060
oct62157007
926683600
1013164039
117481379
1244aa0b3
13295ba95
141a69567
1512506c9
hexc8de07

13164039 has 48 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 7348320.

The previous prime is 13164031. The next prime is 13164061. The reversal of 13164039 is 93046131.

13164039 is a `hidden beast` number, since 13 + 1 + 640 + 3 + 9 = 666.

13164039 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 13164039 - 23 = 13164031 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13164031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120717 + ... + 120825.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 213164039 is an apocalyptic number.

13164039 is a deficient number, since it is larger than the sum of its proper divisors (9899001).

13164039 is an equidigital number, since it uses as much as digits as its factorization.

13164039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13164039 is about 3628.2280799310. The cubic root of 13164039 is about 236.1183393384.

The spelling of 13164039 in words is "thirteen million, one hundred sixty-four thousand, thirty-nine".

Divisors: 1 3 7 9 21 27 63 71 81 109 189 213 243 327 497 567 639 763 981 1491 1701 1917 2289 2943 4473 5751 6867 7739 8829 13419 17253 20601 23217 26487 40257 54173 61803 69651 120771 162519 185409 208953 487557 626859 1462671 1880577 4388013 13164039