Search a number
-
+
2120895810 = 2325118924071
BaseRepresentation
bin111111001101010…
…0100110101000010
312110210211200002200
41332122210311002
513320422131220
6550242054030
7103362213465
oct17632446502
95423750080
102120895810
11999210460
124b234a316
1327a525c47
141619692dc
15c62e3890
hex7e6a4d42

2120895810 has 96 divisors (see below), whose sum is σ = 6083475840. Its totient is φ = 508358400.

The previous prime is 2120895797. The next prime is 2120895823. The reversal of 2120895810 is 185980212.

It is an interprime number because it is at equal distance from previous prime (2120895797) and next prime (2120895823).

It is a super-2 number, since 2×21208958102 = 8996398073751112200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76075 + ... + 100145.

It is an arithmetic number, because the mean of its divisors is an integer number (63369540).

Almost surely, 22120895810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120895810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041737920).

2120895810 is an abundant number, since it is smaller than the sum of its proper divisors (3962580030).

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

2120895810 is a wasteful number, since it uses less digits than its factorization.

2120895810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24184 (or 24181 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2120895810 is about 46053.1845804392. The cubic root of 2120895810 is about 1284.8125734097.

The spelling of 2120895810 in words is "two billion, one hundred twenty million, eight hundred ninety-five thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 89 90 99 110 165 178 198 267 330 445 495 534 801 890 979 990 1335 1602 1958 2670 2937 4005 4895 5874 8010 8811 9790 14685 17622 24071 29370 44055 48142 72213 88110 120355 144426 216639 240710 264781 361065 433278 529562 722130 794343 1083195 1323905 1588686 2142319 2166390 2383029 2647810 3971715 4284638 4766058 6426957 7943430 10711595 11915145 12853914 19280871 21423190 23565509 23830290 32134785 38561742 47131018 64269570 70696527 96404355 117827545 141393054 192808710 212089581 235655090 353482635 424179162 706965270 1060447905 2120895810