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13145310 = 2325146059
BaseRepresentation
bin110010001001…
…010011011110
3220201211222100
4302021103132
511331122220
61145425530
7216506343
oct62112336
926654870
1013145310
1174692a2
12449b2a6
1329533b9
141a627ca
151249d90
hexc894de

13145310 has 24 divisors (see below), whose sum is σ = 34178040. Its totient is φ = 3505392.

The previous prime is 13145299. The next prime is 13145311. The reversal of 13145310 is 1354131.

13145310 is a `hidden beast` number, since 131 + 4 + 531 + 0 = 666.

13145310 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131453102 = 345598349992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72940 + ... + 73119.

It is an arithmetic number, because the mean of its divisors is an integer number (1424085).

Almost surely, 213145310 is an apocalyptic number.

13145310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13145310 is an abundant number, since it is smaller than the sum of its proper divisors (21032730).

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

13145310 is a wasteful number, since it uses less digits than its factorization.

13145310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146072 (or 146069 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13145310 is about 3625.6461493091. The cubic root of 13145310 is about 236.0063078846.

Adding to 13145310 its reverse (1354131), we get a palindrome (14499441).

The spelling of 13145310 in words is "thirteen million, one hundred forty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 146059 292118 438177 730295 876354 1314531 1460590 2190885 2629062 4381770 6572655 13145310