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1313520 = 243513421
BaseRepresentation
bin101000000101011110000
32110201210220
411000223300
5314013040
644053040
714110335
oct5005360
92421726
101313520
1181795a
12534180
1336cb40
1426298c
151ae2d0
hex140af0

1313520 has 80 divisors (see below), whose sum is σ = 4395552. Its totient is φ = 322560.

The previous prime is 1313467. The next prime is 1313567. The reversal of 1313520 is 253131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 1313520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2910 + ... + 3330.

21313520 is an apocalyptic number.

1313520 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 1313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197776).

1313520 is an abundant number, since it is smaller than the sum of its proper divisors (3082032).

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

1313520 is a wasteful number, since it uses less digits than its factorization.

1313520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1313520 is about 1146.0890017795. The cubic root of 1313520 is about 109.5163337532.

Adding to 1313520 its reverse (253131), we get a palindrome (1566651).

The spelling of 1313520 in words is "one million, three hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 421 520 624 780 842 1040 1263 1560 1684 2105 2526 3120 3368 4210 5052 5473 6315 6736 8420 10104 10946 12630 16419 16840 20208 21892 25260 27365 32838 33680 43784 50520 54730 65676 82095 87568 101040 109460 131352 164190 218920 262704 328380 437840 656760 1313520