Search a number
-
+
3057693180 = 22351916716061
BaseRepresentation
bin1011011001000000…
…1011000111111100
321220002120220111120
42312100023013330
522230232140210
61223224550540
7135525651243
oct26620130774
97802526446
103057693180
111329a96163
12714022450
13399634509
1421014395a
1512d68d270
hexb640b1fc

3057693180 has 96 divisors (see below), whose sum is σ = 9066677760. Its totient is φ = 767796480.

The previous prime is 3057693157. The next prime is 3057693181. The reversal of 3057693180 is 813967503.

3057693180 = T11635 + T11636 + ... + T11679.

3057693180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3057693181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182350 + ... + 198410.

It is an arithmetic number, because the mean of its divisors is an integer number (94444560).

Almost surely, 23057693180 is an apocalyptic number.

3057693180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3057693180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533338880).

3057693180 is an abundant number, since it is smaller than the sum of its proper divisors (6008984580).

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

3057693180 is a wasteful number, since it uses less digits than its factorization.

3057693180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16259 (or 16257 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 3057693180 is about 55296.4119993332. The cubic root of 3057693180 is about 1451.4362590065.

The spelling of 3057693180 in words is "three billion, fifty-seven million, six hundred ninety-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 167 190 228 285 334 380 501 570 668 835 1002 1140 1670 2004 2505 3173 3340 5010 6346 9519 10020 12692 15865 16061 19038 31730 32122 38076 47595 48183 63460 64244 80305 95190 96366 160610 190380 192732 240915 305159 321220 481830 610318 915477 963660 1220636 1525795 1830954 2682187 3051590 3661908 4577385 5364374 6103180 8046561 9154770 10728748 13410935 16093122 18309540 26821870 32186244 40232805 50961553 53643740 80465610 101923106 152884659 160931220 203846212 254807765 305769318 509615530 611538636 764423295 1019231060 1528846590 3057693180