Search a number
-
+
13134030 = 23571317283
BaseRepresentation
bin110010000110…
…100011001110
3220201021111120
4302012203032
511330242110
61145301410
7216431430
oct62064316
926637446
1013134030
117460878
124494866
13294b220
141a5c650
151246870
hexc868ce

13134030 has 128 divisors (see below), whose sum is σ = 41223168. Its totient is φ = 2598912.

The previous prime is 13134029. The next prime is 13134041. The reversal of 13134030 is 3043131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 46269 + ... + 46551.

It is an arithmetic number, because the mean of its divisors is an integer number (322056).

Almost surely, 213134030 is an apocalyptic number.

13134030 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 13134030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20611584).

13134030 is an abundant number, since it is smaller than the sum of its proper divisors (28089138).

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

13134030 is a wasteful number, since it uses less digits than its factorization.

13134030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13134030 is about 3624.0902306648. The cubic root of 13134030 is about 235.9387828388.

Adding to 13134030 its reverse (3043131), we get a palindrome (16177161).

The spelling of 13134030 in words is "thirteen million, one hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 17 21 26 30 34 35 39 42 51 65 70 78 85 91 102 105 119 130 170 182 195 210 221 238 255 273 283 357 390 442 455 510 546 566 595 663 714 849 910 1105 1190 1326 1365 1415 1547 1698 1785 1981 2210 2730 2830 3094 3315 3570 3679 3962 4245 4641 4811 5943 6630 7358 7735 8490 9282 9622 9905 11037 11886 14433 15470 18395 19810 22074 23205 24055 25753 28866 29715 33677 36790 46410 48110 51506 55185 59430 62543 67354 72165 77259 101031 110370 125086 128765 144330 154518 168385 187629 202062 257530 312715 336770 375258 386295 437801 505155 625430 772590 875602 938145 1010310 1313403 1876290 2189005 2626806 4378010 6567015 13134030