Search a number
-
+
13215940 = 2254171227
BaseRepresentation
bin110010011010…
…100011000100
3220212102212021
4302122203010
511340402230
61151132524
7220222303
oct62324304
926772767
1013215940
117507371
124514144
1329795aa
141a8043a
151260c7a
hexc9a8c4

13215940 has 48 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 5062400.

The previous prime is 13215929. The next prime is 13215949. The reversal of 13215940 is 4951231.

It is a super-2 number, since 2×132159402 = 349322140167200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13215949) 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, 58107 + ... + 58333.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 213215940 is an apocalyptic number.

13215940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13215940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

13215940 is an abundant number, since it is smaller than the sum of its proper divisors (15741884).

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

13215940 is a wasteful number, since it uses less digits than its factorization.

13215940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 13215940 is about 3635.3734333628. The cubic root of 13215940 is about 236.4282418878.

The spelling of 13215940 in words is "thirteen million, two hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 227 284 355 410 454 710 820 908 1135 1420 2270 2911 4540 5822 9307 11644 14555 16117 18614 29110 32234 37228 46535 58220 64468 80585 93070 161170 186140 322340 660797 1321594 2643188 3303985 6607970 13215940