Search a number
-
+
2045304520 = 2357113127509
BaseRepresentation
bin111100111101000…
…1101111011001000
312021112121020100021
41321322031323020
513142044221040
6534541550224
7101453541640
oct17172157310
95245536307
102045304520
1195a580616
12490b75374
1326797a47c
141558cd520
15be86124a
hex79e8dec8

2045304520 has 128 divisors (see below), whose sum is σ = 5358182400. Its totient is φ = 688214016.

The previous prime is 2045304517. The next prime is 2045304529. The reversal of 2045304520 is 254035402.

It is not an unprimeable number, because it can be changed into a prime (2045304529) 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, 4018026 + ... + 4018534.

It is an arithmetic number, because the mean of its divisors is an integer number (41860800).

Almost surely, 22045304520 is an apocalyptic number.

2045304520 is a gapful number since it is divisible by the number (20) 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 2045304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679091200).

2045304520 is an abundant number, since it is smaller than the sum of its proper divisors (3312877880).

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

2045304520 is a wasteful number, since it uses less digits than its factorization.

2045304520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2045304520 is about 45225.0430624449. The cubic root of 2045304520 is about 1269.3634605395.

Adding to 2045304520 its reverse (254035402), we get a palindrome (2299339922).

The spelling of 2045304520 in words is "two billion, forty-five million, three hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 127 140 226 254 280 452 508 509 565 635 791 889 904 1016 1018 1130 1270 1582 1778 2036 2260 2540 2545 3164 3556 3563 3955 4072 4445 4520 5080 5090 6328 7112 7126 7910 8890 10180 14252 14351 15820 17780 17815 20360 28504 28702 31640 35560 35630 57404 57517 64643 71260 71755 100457 114808 115034 129286 142520 143510 200914 230068 258572 287020 287585 323215 401828 402619 452501 460136 502285 517144 574040 575170 646430 803656 805238 905002 1004570 1150340 1292860 1610476 1810004 2009140 2013095 2262505 2300680 2585720 3220952 3620008 4018280 4026190 4525010 7304659 8052380 9050020 14609318 16104760 18100040 29218636 36523295 51132613 58437272 73046590 102265226 146093180 204530452 255663065 292186360 409060904 511326130 1022652260 2045304520