Search a number
-
+
12718494 = 2322331991
BaseRepresentation
bin110000100001…
…000110011110
3212221011111100
4300201012132
511223442434
61132333530
7213051105
oct60410636
925834440
1012718494
1171a7658
1243142a6
132834049
14199103c
1511b3699
hexc2119e

12718494 has 48 divisors (see below), whose sum is σ = 29712384. Its totient is φ = 3920400.

The previous prime is 12718493. The next prime is 12718513. The reversal of 12718494 is 49481721.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12718493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12339 + ... + 13329.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 212718494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12718494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856192).

12718494 is an abundant number, since it is smaller than the sum of its proper divisors (16993890).

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

12718494 is a wasteful number, since it uses less digits than its factorization.

12718494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1050 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12718494 is about 3566.2997630597. The cubic root of 12718494 is about 233.4238510484.

The spelling of 12718494 in words is "twelve million, seven hundred eighteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 991 1426 1982 2139 2973 4278 5946 6417 8919 12834 17838 22793 30721 45586 61442 68379 92163 136758 184326 205137 276489 410274 552978 706583 1413166 2119749 4239498 6359247 12718494