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1317120 = 283573
BaseRepresentation
bin101000001100100000000
32110220202020
411001210000
5314121440
644121440
714124000
oct5014400
92426666
101317120
1181a632
12536280
1337167c
14264000
151b03d0
hex141900

1317120 has 144 divisors (see below), whose sum is σ = 4905600. Its totient is φ = 301056.

The previous prime is 1317119. The next prime is 1317131. The reversal of 1317120 is 217131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1317120.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 140 × 84 × 112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188157 + ... + 188163.

21317120 is an apocalyptic number.

1317120 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 1317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452800).

1317120 is an abundant number, since it is smaller than the sum of its proper divisors (3588480).

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

1317120 is an frugal number, since it uses more digits than its factorization.

1317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1317120 is about 1147.6584857875. The cubic root of 1317120 is about 109.6162939527.

The spelling of 1317120 in words is "one million, three hundred seventeen thousand, one hundred twenty".