Search a number
-
+
13180950 = 23252171723
BaseRepresentation
bin110010010010…
…000000010110
3220210122212100
4302102000112
511333242300
61150302530
7220015266
oct62220026
926718770
1013180950
117493052
1244b7a46
1329666a3
141a717a6
151255700
hexc92016

13180950 has 72 divisors (see below), whose sum is σ = 37517688. Its totient is φ = 3306240.

The previous prime is 13180939. The next prime is 13180957. The reversal of 13180950 is 5908131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13180957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6789 + ... + 8511.

It is an arithmetic number, because the mean of its divisors is an integer number (521079).

Almost surely, 213180950 is an apocalyptic number.

13180950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13180950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758844).

13180950 is an abundant number, since it is smaller than the sum of its proper divisors (24336738).

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

13180950 is a wasteful number, since it uses less digits than its factorization.

13180950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 13180950 is about 3630.5578083815. The cubic root of 13180950 is about 236.2194047891.

The spelling of 13180950 in words is "thirteen million, one hundred eighty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 1723 2550 3446 3825 5169 7650 8615 10338 15507 17230 25845 29291 31014 43075 51690 58582 77535 86150 87873 129225 146455 155070 175746 258450 263619 292910 387675 439365 527238 732275 775350 878730 1318095 1464550 2196825 2636190 4393650 6590475 13180950