Search a number
-
+
20671530120 = 23325173377701
BaseRepresentation
bin10011010000000111…
…101000010010001000
31222100122010112101200
4103100013220102020
5314313402430440
613255114344200
71331155051443
oct232007502210
958318115350
1020671530120
1188485a359a
12400aa2b060
131c45859637
14100156c65a
1580ebb7c30
hex4d01e8488

20671530120 has 96 divisors (see below), whose sum is σ = 71134404120. Its totient is φ = 5188147200.

The previous prime is 20671530109. The next prime is 20671530127. The reversal of 20671530120 is 2103517602.

It is a happy number.

20671530120 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 1 + 530 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17485830756 + 3185699364 = 132234^2 + 56442^2 .

It is a super-3 number, since 3×206715301203 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20671530127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1682731 + ... + 1694970.

Almost surely, 220671530120 is an apocalyptic number.

20671530120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20671530120 is an abundant number, since it is smaller than the sum of its proper divisors (50462874000).

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

20671530120 is a wasteful number, since it uses less digits than its factorization.

20671530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377735 (or 3377728 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 20671530120 in words is "twenty billion, six hundred seventy-one million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 3377701 6755402 10133103 13510804 16888505 20266206 27021608 30399309 33777010 40532412 50665515 57420917 60798618 67554020 81064824 101331030 114841834 121597236 135108040 151996545 172262751 202662060 229683668 243194472 287104585 303993090 344525502 405324120 459367336 516788253 574209170 607986180 689051004 861313755 1033576506 1148418340 1215972360 1378102008 1722627510 2067153012 2296836680 2583941265 3445255020 4134306024 5167882530 6890510040 10335765060 20671530120