Search a number
-
+
712314135 = 33513439439
BaseRepresentation
bin101010011101010…
…000110100010111
31211122100022022000
4222131100310113
52424323023020
6154403210343
723436366411
oct5235206427
91748308260
10712314135
113360a0175
1217a6769b3
13b4761370
146a8619b1
1542806090
hex2a750d17

712314135 has 64 divisors (see below), whose sum is σ = 1395609600. Its totient is φ = 342486144.

The previous prime is 712314077. The next prime is 712314137. The reversal of 712314135 is 531413217.

712314135 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 712314135 - 28 = 712313879 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 712314099 and 712314108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712314137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70746 + ... + 80184.

It is an arithmetic number, because the mean of its divisors is an integer number (21806400).

Almost surely, 2712314135 is an apocalyptic number.

712314135 is a deficient number, since it is larger than the sum of its proper divisors (683295465).

712314135 is a wasteful number, since it uses less digits than its factorization.

712314135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9503 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 712314135 is about 26689.2138325579. The cubic root of 712314135 is about 893.0803230949.

The spelling of 712314135 in words is "seven hundred twelve million, three hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 43 45 65 117 129 135 195 215 351 387 559 585 645 1161 1677 1755 1935 2795 5031 5805 8385 9439 15093 25155 28317 47195 75465 84951 122707 141585 254853 368121 405877 424755 613535 1104363 1217631 1274265 1840605 2029385 3313089 3652893 5276401 5521815 6088155 10958679 15829203 16565445 18264465 26382005 47487609 54793395 79146015 142462827 237438045 712314135