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1332828 = 223374143
BaseRepresentation
bin101000101011001011100
32111201022000
411011121130
5320122303
644322300
714220540
oct5053134
92451260
101332828
11830412
12543390
13378873
14269a20
151b4da3
hex14565c

1332828 has 96 divisors (see below), whose sum is σ = 4139520. Its totient is φ = 362880.

The previous prime is 1332823. The next prime is 1332833. The reversal of 1332828 is 8282331.

1332828 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (1332823) and next prime (1332833).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2304) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332823) 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, 30975 + ... + 31017.

It is an arithmetic number, because the mean of its divisors is an integer number (43120).

21332828 is an apocalyptic number.

1332828 is a gapful number since it is divisible by the number (18) 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 1332828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069760).

1332828 is an abundant number, since it is smaller than the sum of its proper divisors (2806692).

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

1332828 is a wasteful number, since it uses less digits than its factorization.

1332828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1332828 is about 1154.4817018905. The cubic root of 1332828 is about 110.0503350903.

The spelling of 1332828 in words is "one million, three hundred thirty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 43 54 63 82 84 86 108 123 126 129 164 172 189 246 252 258 287 301 369 378 387 492 516 574 602 738 756 774 861 903 1107 1148 1161 1204 1476 1548 1722 1763 1806 2214 2322 2583 2709 3444 3526 3612 4428 4644 5166 5289 5418 7052 7749 8127 10332 10578 10836 12341 15498 15867 16254 21156 24682 30996 31734 32508 37023 47601 49364 63468 74046 95202 111069 148092 190404 222138 333207 444276 666414 1332828