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1308120 = 233511991
BaseRepresentation
bin100111111010111011000
32110110101220
410333113120
5313324440
644012040
714055522
oct4772730
92413356
101308120
118138a0
12531020
1336a548
14260a12
151ac8d0
hex13f5d8

1308120 has 64 divisors (see below), whose sum is σ = 4285440. Its totient is φ = 316800.

The previous prime is 1308091. The next prime is 1308121. The reversal of 1308120 is 218031.

It is a happy number.

It is a super-2 number, since 2×13081202 = 3422355868800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1308120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1308121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825 + ... + 1815.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

21308120 is an apocalyptic number.

1308120 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 1308120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720).

1308120 is an abundant number, since it is smaller than the sum of its proper divisors (2977320).

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

1308120 is a wasteful number, since it uses less digits than its factorization.

1308120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1308120 is about 1143.7307375427. The cubic root of 1308120 is about 109.3660504242.

The spelling of 1308120 in words is "one million, three hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 991 1320 1982 2973 3964 4955 5946 7928 9910 10901 11892 14865 19820 21802 23784 29730 32703 39640 43604 54505 59460 65406 87208 109010 118920 130812 163515 218020 261624 327030 436040 654060 1308120