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1327284 = 2232723229
BaseRepresentation
bin101000100000010110100
32111102200200
411010002310
5314433114
644240500
714165430
oct5040264
92442620
101327284
11827232
12540130
1337619a
142679c0
151b3409
hex1440b4

1327284 has 72 divisors (see below), whose sum is σ = 4018560. Its totient is φ = 361152.

The previous prime is 1327267. The next prime is 1327289. The reversal of 1327284 is 4827231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5682 + ... + 5910.

21327284 is an apocalyptic number.

1327284 is a gapful number since it is divisible by the number (14) 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 1327284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009280).

1327284 is an abundant number, since it is smaller than the sum of its proper divisors (2691276).

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

1327284 is a wasteful number, since it uses less digits than its factorization.

1327284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 264 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 1327284 is about 1152.0781223511. The cubic root of 1327284 is about 109.8975354383.

The spelling of 1327284 in words is "one million, three hundred twenty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 229 252 276 322 414 458 483 644 687 828 916 966 1374 1449 1603 1932 2061 2748 2898 3206 4122 4809 5267 5796 6412 8244 9618 10534 14427 15801 19236 21068 28854 31602 36869 47403 57708 63204 73738 94806 110607 147476 189612 221214 331821 442428 663642 1327284