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13180340 = 225661997
BaseRepresentation
bin110010010001…
…110110110100
3220210122000202
4302101312310
511333232330
61150300032
7220013435
oct62216664
926718022
1013180340
117492648
1244b7618
132966324
141a7148c
151255445
hexc91db4

13180340 has 24 divisors (see below), whose sum is σ = 27748392. Its totient is φ = 5258880.

The previous prime is 13180339. The next prime is 13180361. The reversal of 13180340 is 4308131.

It is a happy number.

13180340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5216656 + 7963684 = 2284^2 + 2822^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12722 + ... + 13718.

It is an arithmetic number, because the mean of its divisors is an integer number (1156183).

Almost surely, 213180340 is an apocalyptic number.

13180340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13180340 is an abundant number, since it is smaller than the sum of its proper divisors (14568052).

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

13180340 is a wasteful number, since it uses less digits than its factorization.

13180340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13180340 is about 3630.4737982803. The cubic root of 13180340 is about 236.2157607407.

Adding to 13180340 its reverse (4308131), we get a palindrome (17488471).

The spelling of 13180340 in words is "thirteen million, one hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 661 997 1322 1994 2644 3305 3988 4985 6610 9970 13220 19940 659017 1318034 2636068 3295085 6590170 13180340