Search a number
-
+
13431520 = 255127661
BaseRepresentation
bin110011001111…
…001011100000
3221021101120201
4303033023200
511414302040
61155514544
7222110644
oct63171340
927241521
1013431520
117644333
1245b8a54
132a2375b
141ad8c24
1512a4a9a
hexccf2e0

13431520 has 48 divisors (see below), whose sum is σ = 32030208. Its totient is φ = 5322240.

The previous prime is 13431503. The next prime is 13431521. The reversal of 13431520 is 2513431.

13431520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431521) 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, 19990 + ... + 20650.

It is an arithmetic number, because the mean of its divisors is an integer number (667296).

Almost surely, 213431520 is an apocalyptic number.

13431520 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 13431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015104).

13431520 is an abundant number, since it is smaller than the sum of its proper divisors (18598688).

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

13431520 is a wasteful number, since it uses less digits than its factorization.

13431520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13431520 is about 3664.9038186561. The cubic root of 13431520 is about 237.7068631673.

Adding to 13431520 its reverse (2513431), we get a palindrome (15944951).

The spelling of 13431520 in words is "thirteen million, four hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 661 1016 1270 1322 2032 2540 2644 3305 4064 5080 5288 6610 10160 10576 13220 20320 21152 26440 52880 83947 105760 167894 335788 419735 671576 839470 1343152 1678940 2686304 3357880 6715760 13431520