Search a number
-
+
2045584660 = 225757125589
BaseRepresentation
bin111100111101101…
…0010010100010100
312021120010110121211
41321323102110110
513142132202120
6534551551204
7101456116450
oct17173222424
95246113554
102045584660
1195a752039
1249108b504
13267a47b32
14155963660
15be8b925a
hex79ed2514

2045584660 has 48 divisors (see below), whose sum is σ = 4918193280. Its totient is φ = 700087680.

The previous prime is 2045584657. The next prime is 2045584679. The reversal of 2045584660 is 664855402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67146 + ... + 92734.

It is an arithmetic number, because the mean of its divisors is an integer number (102462360).

Almost surely, 22045584660 is an apocalyptic number.

2045584660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045584660 is an abundant number, since it is smaller than the sum of its proper divisors (2872608620).

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

2045584660 is a wasteful number, since it uses less digits than its factorization.

2045584660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26176 (or 26174 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 2045584660 is about 45228.1401342129. The cubic root of 2045584660 is about 1269.4214116893.

The spelling of 2045584660 in words is "two billion, forty-five million, five hundred eighty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 571 1142 2284 2855 3997 5710 7994 11420 15988 19985 25589 39970 51178 79940 102356 127945 179123 255890 358246 511780 716492 895615 1791230 3582460 14611319 29222638 58445276 73056595 102279233 146113190 204558466 292226380 409116932 511396165 1022792330 2045584660