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1332120 = 233517653
BaseRepresentation
bin101000101001110011000
32111200022210
411011032120
5320111440
644315120
714215506
oct5051630
92450283
101332120
1182a929
12542aa0
1337844a
14269676
151b4a80
hex145398

1332120 has 64 divisors (see below), whose sum is σ = 4237920. Its totient is φ = 333824.

The previous prime is 1332119. The next prime is 1332127. The reversal of 1332120 is 212331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1332096 and 1332105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714 + ... + 2366.

21332120 is an apocalyptic number.

1332120 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 1332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118960).

1332120 is an abundant number, since it is smaller than the sum of its proper divisors (2905800).

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

1332120 is a wasteful number, since it uses less digits than its factorization.

1332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1332120 is about 1154.1750300539. The cubic root of 1332120 is about 110.0308453443.

Adding to 1332120 its reverse (212331), we get a palindrome (1544451).

The spelling of 1332120 in words is "one million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 653 680 1020 1306 1959 2040 2612 3265 3918 5224 6530 7836 9795 11101 13060 15672 19590 22202 26120 33303 39180 44404 55505 66606 78360 88808 111010 133212 166515 222020 266424 333030 444040 666060 1332120