Search a number
-
+
13190490 = 23251131297
BaseRepresentation
bin110010010100…
…010101011010
3220211010221200
4302110111122
511334043430
61150415030
7220055145
oct62242532
926733850
1013190490
11749a235
124501476
13296ab31
141a7505c
151258460
hexc9455a

13190490 has 48 divisors (see below), whose sum is σ = 34625448. Its totient is φ = 3483648.

The previous prime is 13190467. The next prime is 13190509. The reversal of 13190490 is 9409131.

It can be written as a sum of positive squares in 4 ways, for example, as 10949481 + 2241009 = 3309^2 + 1497^2 .

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 23 ways as a sum of consecutive naturals, for example, 9522 + ... + 10818.

Almost surely, 213190490 is an apocalyptic number.

13190490 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 13190490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312724).

13190490 is an abundant number, since it is smaller than the sum of its proper divisors (21434958).

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

13190490 is a wasteful number, since it uses less digits than its factorization.

13190490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13190490 is about 3631.8714184288. The cubic root of 13190490 is about 236.2763806940.

The spelling of 13190490 in words is "thirteen million, one hundred ninety thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1297 1695 2034 2594 3390 3891 5085 6485 7782 10170 11673 12970 19455 23346 38910 58365 116730 146561 293122 439683 732805 879366 1319049 1465610 2198415 2638098 4396830 6595245 13190490