Search a number
-
+
5510250460 = 225112131710303
BaseRepresentation
bin1010010000110111…
…11011111111011100
3112020000111201121101
411020123323333130
542241111003320
62310435442444
7253356233101
oct51033737734
915200451541
105510250460
112378435800
121099456424
1369a792540
143a3b64aa8
15223b46c0a
hex1486fbfdc

5510250460 has 144 divisors (see below), whose sum is σ = 14504652288. Its totient is φ = 1740625920.

The previous prime is 5510250451. The next prime is 5510250469. The reversal of 5510250460 is 640520155.

It is an interprime number because it is at equal distance from previous prime (5510250451) and next prime (5510250469).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5510250469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529669 + ... + 539971.

It is an arithmetic number, because the mean of its divisors is an integer number (100726752).

Almost surely, 25510250460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5510250460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252326144).

5510250460 is an abundant number, since it is smaller than the sum of its proper divisors (8994401828).

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

5510250460 is a wasteful number, since it uses less digits than its factorization.

5510250460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 5510250460 is about 74231.0612883852. The cubic root of 5510250460 is about 1766.2700839176.

It can be divided in two parts, 5510 and 250460, that added together give a triangular number (255970 = T715).

The spelling of 5510250460 in words is "five billion, five hundred ten million, two hundred fifty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 121 130 143 170 187 220 221 242 260 286 340 374 442 484 572 605 715 748 884 935 1105 1210 1430 1573 1870 2057 2210 2420 2431 2860 3146 3740 4114 4420 4862 6292 7865 8228 9724 10285 10303 12155 15730 20570 20606 24310 26741 31460 41140 41212 48620 51515 53482 103030 106964 113333 133705 133939 175151 206060 226666 267410 267878 350302 453332 534820 535756 566665 669695 700604 875755 1133330 1246663 1339390 1473329 1751510 1926661 2266660 2276963 2493326 2678780 2946658 3503020 3853322 4553926 4986652 5893316 6233315 7366645 7706644 9107852 9633305 11384815 12466630 14733290 16206619 19266610 21193271 22769630 24933260 25046593 29466580 32413238 38533220 42386542 45539260 50093186 64826476 81033095 84773084 100186372 105966355 125232965 162066190 211932710 250465930 275512523 324132380 423865420 500931860 551025046 1102050092 1377562615 2755125230 5510250460