Search a number
-
+
1313303520 = 25352736049
BaseRepresentation
bin100111001000111…
…0110101111100000
310101112012201202010
41032101312233200
510142201203040
6334152352520
744354616144
oct11621665740
93345181663
101313303520
11614364411
123079a5740
1317c115399
14c65c5224
157a46be80
hex4e476be0

1313303520 has 48 divisors (see below), whose sum is σ = 4136907600. Its totient is φ = 350214144.

The previous prime is 1313303501. The next prime is 1313303521. The reversal of 1313303520 is 253033131.

1313303520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13133035202 = 3449532271288780800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313303521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1367545 + ... + 1368504.

It is an arithmetic number, because the mean of its divisors is an integer number (86185575).

Almost surely, 21313303520 is an apocalyptic number.

1313303520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313303520 is an abundant number, since it is smaller than the sum of its proper divisors (2823604080).

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

1313303520 is a wasteful number, since it uses less digits than its factorization.

1313303520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736067 (or 2736059 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 1313303520 is about 36239.5297982741. The cubic root of 1313303520 is about 1095.1031699459.

Adding to 1313303520 its reverse (253033131), we get a palindrome (1566336651).

The spelling of 1313303520 in words is "one billion, three hundred thirteen million, three hundred three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2736049 5472098 8208147 10944196 13680245 16416294 21888392 27360490 32832588 41040735 43776784 54720980 65665176 82081470 87553568 109441960 131330352 164162940 218883920 262660704 328325880 437767840 656651760 1313303520