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13313840 = 2451631021
BaseRepresentation
bin110010110010…
…011100110000
3221001102011012
4302302130300
511402020330
61153210052
7221110601
oct62623460
927042135
1013313840
117573981
124560928
1329b2017
141aa7da8
15127ec95
hexcb2730

13313840 has 40 divisors (see below), whose sum is σ = 31175088. Its totient is φ = 5287680.

The previous prime is 13313827. The next prime is 13313843. The reversal of 13313840 is 4831331.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13313843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12530 + ... + 13550.

Almost surely, 213313840 is an apocalyptic number.

13313840 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 13313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587544).

13313840 is an abundant number, since it is smaller than the sum of its proper divisors (17861248).

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

13313840 is a wasteful number, since it uses less digits than its factorization.

13313840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 13313840 is about 3648.8135057851. The cubic root of 13313840 is about 237.0106044262.

The spelling of 13313840 in words is "thirteen million, three hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1021 1304 1630 2042 2608 3260 4084 5105 6520 8168 10210 13040 16336 20420 40840 81680 166423 332846 665692 832115 1331384 1664230 2662768 3328460 6656920 13313840