Search a number
-
+
130792905000 = 2332542906509
BaseRepresentation
bin111100111001111011…
…1010101100100101000
3110111121011220222210200
41321303313111210220
54120330440430000
6140030241512200
712310112230512
oct1716367254450
9414534828720
10130792905000
115051820441a
1221422342660
13c4452421a4
14648a908bb2
153607788500
hex1e73dd5928

130792905000 has 120 divisors (see below), whose sum is σ = 442646940450. Its totient is φ = 34878096000.

The previous prime is 130792904941. The next prime is 130792905007. The reversal of 130792905000 is 509297031.

It can be written as a sum of positive squares in 5 ways, for example, as 4596026436 + 126196878564 = 67794^2 + 355242^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130792905007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1408255 + ... + 1498254.

Almost surely, 2130792905000 is an apocalyptic number.

130792905000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130792905000 is an abundant number, since it is smaller than the sum of its proper divisors (311854035450).

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

130792905000 is a wasteful number, since it uses less digits than its factorization.

130792905000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906541 (or 2906519 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 130792905000 in words is "one hundred thirty billion, seven hundred ninety-two million, nine hundred five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 2906509 5813018 8719527 11626036 14532545 17439054 23252072 26158581 29065090 34878108 43597635 52317162 58130180 69756216 72662725 87195270 104634324 116260360 130792905 145325450 174390540 209268648 217988175 261585810 290650900 348781080 363313625 435976350 523171620 581301800 653964525 726627250 871952700 1046343240 1089940875 1307929050 1453254500 1743905400 1816568125 2179881750 2615858100 2906509000 3269822625 3633136250 4359763500 5231716200 5449704375 6539645250 7266272500 8719527000 10899408750 13079290500 14532545000 16349113125 21798817500 26158581000 32698226250 43597635000 65396452500 130792905000