Search a number
-
+
13294090000 = 245411532
BaseRepresentation
bin11000110000110001…
…11011011100010000
31021022111011202002201
430120120323130100
5204211241340000
610035054252544
7650303620612
oct143030733420
937274152081
1013294090000
115702192644
1226b01b7154
13133b2b0759
14901840db2
1552c19496a
hex31863b710

13294090000 has 75 divisors (see below), whose sum is σ = 32214260793. Its totient is φ = 5313024000.

The previous prime is 13294089983. The next prime is 13294090001. The reversal of 13294090000 is 9049231.

It is a happy number.

The square root of 13294090000 is 115300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 6302454544 + 6991635456 = 79388^2 + 83616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13294090001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11529424 + ... + 11530576.

Almost surely, 213294090000 is an apocalyptic number.

13294090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13294090000 is the 115300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13294090000

13294090000 is an abundant number, since it is smaller than the sum of its proper divisors (18920170793).

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

13294090000 is an frugal number, since it uses more digits than its factorization.

13294090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 13294090000 in words is "thirteen billion, two hundred ninety-four million, ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1153 1250 2000 2306 2500 4612 5000 5765 9224 10000 11530 18448 23060 28825 46120 57650 92240 115300 144125 230600 288250 461200 576500 720625 1153000 1329409 1441250 2306000 2658818 2882500 5317636 5765000 6647045 10635272 11530000 13294090 21270544 26588180 33235225 53176360 66470450 106352720 132940900 166176125 265881800 332352250 531763600 664704500 830880625 1329409000 1661761250 2658818000 3323522500 6647045000 13294090000