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13002282 = 23483967
BaseRepresentation
bin110001100110…
…011000101010
3220110120210000
4301212120222
511312033112
61142403430
7215342346
oct61463052
926416700
1013002282
117380897
124430576
132903277
141a26626
15121c7dc
hexc6662a

13002282 has 40 divisors (see below), whose sum is σ = 29516256. Its totient is φ = 4277448.

The previous prime is 13002257. The next prime is 13002287. The reversal of 13002282 is 28220031.

It is a happy number.

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 (13002287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12963 + ... + 13929.

Almost surely, 213002282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14758128).

13002282 is an abundant number, since it is smaller than the sum of its proper divisors (16513974).

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

13002282 is an equidigital number, since it uses as much as digits as its factorization.

13002282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13002282 is about 3605.8677180396. The cubic root of 13002282 is about 235.1472262896.

The spelling of 13002282 in words is "thirteen million, two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 249 498 747 967 1494 1934 2241 2901 4482 5802 6723 8703 13446 17406 26109 52218 78327 80261 156654 160522 240783 481566 722349 1444698 2167047 4334094 6501141 13002282