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13180077 = 3573743
BaseRepresentation
bin110010010001…
…110010101101
3220210121200000
4302101302231
511333230302
61150254513
7220012611
oct62216255
926717600
1013180077
117492429
1244b7439
132966181
141a71341
15125531c
hexc91cad

13180077 has 24 divisors (see below), whose sum is σ = 20040384. Its totient is φ = 8654688.

The previous prime is 13180067. The next prime is 13180121. The reversal of 13180077 is 77008131.

13180077 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 not a de Polignac number, because 13180077 - 24 = 13180061 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13180077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13180067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17368 + ... + 18110.

It is an arithmetic number, because the mean of its divisors is an integer number (835016).

Almost surely, 213180077 is an apocalyptic number.

It is an amenable number.

13180077 is a deficient number, since it is larger than the sum of its proper divisors (6860307).

13180077 is an frugal number, since it uses more digits than its factorization.

13180077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 13180077 is about 3630.4375769320. The cubic root of 13180077 is about 236.2141895835.

It can be divided in two parts, 131 and 80077, that added together give a palindrome (80208).

The spelling of 13180077 in words is "thirteen million, one hundred eighty thousand, seventy-seven".

Divisors: 1 3 9 27 73 81 219 243 657 743 1971 2229 5913 6687 17739 20061 54239 60183 162717 180549 488151 1464453 4393359 13180077