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13381228 = 2275371127
BaseRepresentation
bin110011000010…
…111001101100
3221011211121001
4303002321230
511411144403
61154450044
7221511220
oct63027154
927154531
1013381228
11760a573
124593924
132a068b3
141ac4780
151294c1d
hexcc2e6c

13381228 has 48 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 5503680.

The previous prime is 13381217. The next prime is 13381231. The reversal of 13381228 is 82218331.

13381228 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

13381228 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13381196 and 13381205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105301 + ... + 105427.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 213381228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13381228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

13381228 is an abundant number, since it is smaller than the sum of its proper divisors (14487956).

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

13381228 is a wasteful number, since it uses less digits than its factorization.

13381228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 13381228 is about 3658.0360851145. The cubic root of 13381228 is about 237.4098080434.

Adding to 13381228 its reverse (82218331), we get a palindrome (95599559).

The spelling of 13381228 in words is "thirteen million, three hundred eighty-one thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 53 71 106 127 142 212 254 284 371 497 508 742 889 994 1484 1778 1988 3556 3763 6731 7526 9017 13462 15052 18034 26341 26924 36068 47117 52682 63119 94234 105364 126238 188468 252476 477901 955802 1911604 3345307 6690614 13381228