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13190130 = 23251737233
BaseRepresentation
bin110010010100…
…001111110010
3220211010110100
4302110033302
511334041010
61150413230
7220054122
oct62241762
926733410
1013190130
117499a38
124501216
13296a915
141a74c82
1512582c0
hexc943f2

13190130 has 96 divisors (see below), whose sum is σ = 37453104. Its totient is φ = 3207168.

The previous prime is 13190129. The next prime is 13190141. The reversal of 13190130 is 3109131.

13190130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8485569 + 4704561 = 2913^2 + 2169^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56494 + ... + 56726.

Almost surely, 213190130 is an apocalyptic number.

13190130 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 13190130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726552).

13190130 is an abundant number, since it is smaller than the sum of its proper divisors (24262974).

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

13190130 is a wasteful number, since it uses less digits than its factorization.

13190130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 13190130 is about 3631.8218568647. The cubic root of 13190130 is about 236.2742311587.

Adding to 13190130 its reverse (3109131), we get a palindrome (16299261).

The spelling of 13190130 in words is "thirteen million, one hundred ninety thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 74 85 90 102 111 153 170 185 222 233 255 306 333 370 466 510 555 629 666 699 765 1110 1165 1258 1398 1530 1665 1887 2097 2330 3145 3330 3495 3774 3961 4194 5661 6290 6990 7922 8621 9435 10485 11322 11883 17242 18870 19805 20970 23766 25863 28305 35649 39610 43105 51726 56610 59415 71298 77589 86210 118830 129315 146557 155178 178245 258630 293114 356490 387945 439671 732785 775890 879342 1319013 1465570 2198355 2638026 4396710 6595065 13190130