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13146270 = 23517149173
BaseRepresentation
bin110010001001…
…100010011110
3220201220021220
4302021202132
511331140040
61145434210
7216512214
oct62114236
926656256
1013146270
117469a95
12449b966
132953977
141a62cb4
15124a2d0
hexc8989e

13146270 has 64 divisors (see below), whose sum is σ = 33825600. Its totient is φ = 3258368.

The previous prime is 13146257. The next prime is 13146277. The reversal of 13146270 is 7264131.

It is a self number, because there is not a number n which added to its sum of digits gives 13146270.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13146277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75904 + ... + 76076.

It is an arithmetic number, because the mean of its divisors is an integer number (528525).

Almost surely, 213146270 is an apocalyptic number.

13146270 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 13146270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912800).

13146270 is an abundant number, since it is smaller than the sum of its proper divisors (20679330).

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

13146270 is a wasteful number, since it uses less digits than its factorization.

13146270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13146270 is about 3625.7785370869. The cubic root of 13146270 is about 236.0120529131.

The spelling of 13146270 in words is "thirteen million, one hundred forty-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 149 170 173 255 298 346 447 510 519 745 865 894 1038 1490 1730 2235 2533 2595 2941 4470 5066 5190 5882 7599 8823 12665 14705 15198 17646 25330 25777 29410 37995 44115 51554 75990 77331 88230 128885 154662 257770 386655 438209 773310 876418 1314627 2191045 2629254 4382090 6573135 13146270