Search a number
-
+
13290690 = 2357193331
BaseRepresentation
bin110010101100…
…110011000010
3221000020101210
4302230303002
511400300230
61152510550
7220653240
oct62546302
927006353
1013290690
117558546
12454b456
1329a461a
141a9d790
151277eb0
hexcaccc2

13290690 has 64 divisors (see below), whose sum is σ = 38384640. Its totient is φ = 2877120.

The previous prime is 13290647. The next prime is 13290713. The reversal of 13290690 is 9609231.

It is a super-2 number, since 2×132906902 = 353284881352200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 2325 + ... + 5655.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 213290690 is an apocalyptic number.

13290690 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 13290690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320).

13290690 is an abundant number, since it is smaller than the sum of its proper divisors (25093950).

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

13290690 is a wasteful number, since it uses less digits than its factorization.

13290690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 13290690 is about 3645.6398615332. The cubic root of 13290690 is about 236.8731540062.

It can be divided in two parts, 13 and 290690, that added together give a triangular number (290703 = T762).

The spelling of 13290690 in words is "thirteen million, two hundred ninety thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3331 3990 6662 9993 16655 19986 23317 33310 46634 49965 63289 69951 99930 116585 126578 139902 189867 233170 316445 349755 379734 443023 632890 699510 886046 949335 1329069 1898670 2215115 2658138 4430230 6645345 13290690