Search a number
-
+
2488680660 = 2235175714273
BaseRepresentation
bin1001010001010110…
…0100000011010100
320102102220002001210
42110111210003110
520044100240120
61050541021420
7115446302514
oct22425440324
96372802053
102488680660
111067882684
12595554870
1330879820b
14198745844
15e8741ce0
hex945640d4

2488680660 has 96 divisors (see below), whose sum is σ = 7392857472. Its totient is φ = 623370240.

The previous prime is 2488680653. The next prime is 2488680749. The reversal of 2488680660 is 660868842.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580284 + ... + 584556.

It is an arithmetic number, because the mean of its divisors is an integer number (77008932).

Almost surely, 22488680660 is an apocalyptic number.

2488680660 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 2488680660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696428736).

2488680660 is an abundant number, since it is smaller than the sum of its proper divisors (4904176812).

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

2488680660 is a wasteful number, since it uses less digits than its factorization.

2488680660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2488680660 is about 49886.6781816549. The cubic root of 2488680660 is about 1355.1573479579.

The spelling of 2488680660 in words is "two billion, four hundred eighty-eight million, six hundred eighty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 571 1020 1142 1713 2284 2855 3426 4273 5710 6852 8546 8565 9707 11420 12819 17092 17130 19414 21365 25638 29121 34260 38828 42730 48535 51276 58242 64095 72641 85460 97070 116484 128190 145282 145605 194140 217923 256380 290564 291210 363205 435846 582420 726410 871692 1089615 1452820 2179230 2439883 4358460 4879766 7319649 9759532 12199415 14639298 24398830 29278596 36598245 41478011 48797660 73196490 82956022 124434033 146392980 165912044 207390055 248868066 414780110 497736132 622170165 829560220 1244340330 2488680660