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13180160 = 28571471
BaseRepresentation
bin110010010001…
…110100000000
3220210121210002
4302101310000
511333231120
61150255132
7220013060
oct62216400
926717702
1013180160
1174924a4
1244b74a8
132966216
141a713a0
151255375
hexc91d00

13180160 has 72 divisors (see below), whose sum is σ = 36105216. Its totient is φ = 4515840.

The previous prime is 13180157. The next prime is 13180169. The reversal of 13180160 is 6108131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13180169) 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, 8225 + ... + 9695.

Almost surely, 213180160 is an apocalyptic number.

13180160 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 13180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052608).

13180160 is an abundant number, since it is smaller than the sum of its proper divisors (22925056).

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

13180160 is an equidigital number, since it uses as much as digits as its factorization.

13180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 13180160 is about 3630.4490080429. The cubic root of 13180160 is about 236.2146854263.

Adding to 13180160 its reverse (6108131), we get a palindrome (19288291).

The spelling of 13180160 in words is "thirteen million, one hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1471 1792 2240 2942 4480 5884 7355 8960 10297 11768 14710 20594 23536 29420 41188 47072 51485 58840 82376 94144 102970 117680 164752 188288 205940 235360 329504 376576 411880 470720 659008 823760 941440 1318016 1647520 1882880 2636032 3295040 6590080 13180160