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1332320 = 25511757
BaseRepresentation
bin101000101010001100000
32111200121012
411011101200
5320113240
644320052
714216213
oct5052140
92450535
101332320
1182aaa0
12543028
13378572
1426977a
151b4b65
hex145460

1332320 has 48 divisors (see below), whose sum is σ = 3438288. Its totient is φ = 483840.

The previous prime is 1332319. The next prime is 1332329. The reversal of 1332320 is 232331.

It is a junction number, because it is equal to n+sod(n) for n = 1332295 and 1332304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332329) 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 7 ways as a sum of consecutive naturals, for example, 1382 + ... + 2138.

It is an arithmetic number, because the mean of its divisors is an integer number (71631).

21332320 is an apocalyptic number.

1332320 is a gapful number since it is divisible by the number (10) 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 1332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719144).

1332320 is an abundant number, since it is smaller than the sum of its proper divisors (2105968).

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

1332320 is a wasteful number, since it uses less digits than its factorization.

1332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1332320 is about 1154.2616687736. The cubic root of 1332320 is about 110.0363516219.

Adding to 1332320 its reverse (232331), we get a palindrome (1564651).

The spelling of 1332320 in words is "one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 757 880 1514 1760 3028 3785 6056 7570 8327 12112 15140 16654 24224 30280 33308 41635 60560 66616 83270 121120 133232 166540 266464 333080 666160 1332320