Search a number
-
+
13133010 = 23511172341
BaseRepresentation
bin110010000110…
…010011010010
3220201020002210
4302012103102
511330224020
61145252550
7216425442
oct62062322
926636083
1013133010
117460030
124494156
13294a917
141a5c122
1512463e0
hexc864d2

13133010 has 64 divisors (see below), whose sum is σ = 36422784. Its totient is φ = 2995200.

The previous prime is 13132991. The next prime is 13133011. The reversal of 13133010 is 1033131.

It is not an unprimeable number, because it can be changed into a prime (13133011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4440 + ... + 6780.

It is an arithmetic number, because the mean of its divisors is an integer number (569106).

Almost surely, 213133010 is an apocalyptic number.

13133010 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 13133010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18211392).

13133010 is an abundant number, since it is smaller than the sum of its proper divisors (23289774).

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

13133010 is a wasteful number, since it uses less digits than its factorization.

13133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 13133010 is about 3623.9495029594. The cubic root of 13133010 is about 235.9326749448.

Adding to 13133010 its reverse (1033131), we get a palindrome (14166141).

The spelling of 13133010 in words is "thirteen million, one hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2341 2805 4682 5610 7023 11705 14046 23410 25751 35115 39797 51502 70230 77253 79594 119391 128755 154506 198985 238782 257510 386265 397970 437767 596955 772530 875534 1193910 1313301 2188835 2626602 4377670 6566505 13133010