Search a number
-
+
13215042 = 2331012423
BaseRepresentation
bin110010011010…
…010101000010
3220212101122000
4302122111002
511340340132
61151124430
7220216551
oct62322502
926771560
1013215042
117506725
124513716
132979069
141a7dd98
15126087c
hexc9a542

13215042 has 32 divisors (see below), whose sum is σ = 29669760. Its totient is φ = 4359600.

The previous prime is 13215029. The next prime is 13215047. The reversal of 13215042 is 24051231.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13215047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4243 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (927180).

Almost surely, 213215042 is an apocalyptic number.

13215042 is the 1818-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13215042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834880).

13215042 is an abundant number, since it is smaller than the sum of its proper divisors (16454718).

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

13215042 is a wasteful number, since it uses less digits than its factorization.

13215042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13215042 is about 3635.2499226326. The cubic root of 13215042 is about 236.4228868048.

Adding to 13215042 its reverse (24051231), we get a palindrome (37266273).

The spelling of 13215042 in words is "thirteen million, two hundred fifteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2423 2727 4846 5454 7269 14538 21807 43614 65421 130842 244723 489446 734169 1468338 2202507 4405014 6607521 13215042