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13218870 = 2357193313
BaseRepresentation
bin110010011011…
…010000110110
3220212120212210
4302123100312
511341000440
61151154250
7220233660
oct62332066
926776783
1013218870
117509595
124515986
13297aa22
141a81530
151261a80
hexc9b436

13218870 has 64 divisors (see below), whose sum is σ = 38177280. Its totient is φ = 2861568.

The previous prime is 13218847. The next prime is 13218871. The reversal of 13218870 is 7881231.

It is a happy number.

13218870 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×132188703 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13218871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2334 + ... + 5646.

It is an arithmetic number, because the mean of its divisors is an integer number (596520).

Almost surely, 213218870 is an apocalyptic number.

13218870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13218870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19088640).

13218870 is an abundant number, since it is smaller than the sum of its proper divisors (24958410).

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

13218870 is a wasteful number, since it uses less digits than its factorization.

13218870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 13218870 is about 3635.7763957647. The cubic root of 13218870 is about 236.4457127995.

The spelling of 13218870 in words is "thirteen million, two hundred eighteen thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3313 3990 6626 9939 16565 19878 23191 33130 46382 49695 62947 69573 99390 115955 125894 139146 188841 231910 314735 347865 377682 440629 629470 695730 881258 944205 1321887 1888410 2203145 2643774 4406290 6609435 13218870