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1315120 = 24517967
BaseRepresentation
bin101000001000100110000
32110211000011
411001010300
5314040440
644104304
714115112
oct5010460
92424004
101315120
11819084
12535094
133707a1
142633b2
151ae9ea
hex141130

1315120 has 40 divisors (see below), whose sum is σ = 3240864. Its totient is φ = 494592.

The previous prime is 1315087. The next prime is 1315151. The reversal of 1315120 is 215131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13151202 = 3459081228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1315120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877 + ... + 1843.

21315120 is an apocalyptic number.

1315120 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 1315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620432).

1315120 is an abundant number, since it is smaller than the sum of its proper divisors (1925744).

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

1315120 is a wasteful number, since it uses less digits than its factorization.

1315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1315120 is about 1146.7868154108. The cubic root of 1315120 is about 109.5607830281.

The spelling of 1315120 in words is "one million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 967 1360 1934 3868 4835 7736 9670 15472 16439 19340 32878 38680 65756 77360 82195 131512 164390 263024 328780 657560 1315120