Search a number
-
+
1099868880 = 2435111373041
BaseRepresentation
bin100000110001110…
…1010101011010000
32211122121010110110
41001203222223100
54223031301010
6301050001320
736153505545
oct10143525320
92748533413
101099868880
11514935850
12268416240
13146b360b6
14a6106bcc
156685c120
hex418eaad0

1099868880 has 160 divisors (see below), whose sum is σ = 3747938688. Its totient is φ = 264601600.

The previous prime is 1099868863. The next prime is 1099868923. The reversal of 1099868880 is 888689901.

It is a self number, because there is not a number n which added to its sum of digits gives 1099868880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360160 + ... + 363200.

Almost surely, 21099868880 is an apocalyptic number.

1099868880 is a gapful number since it is divisible by the number (10) 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 1099868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873969344).

1099868880 is an abundant number, since it is smaller than the sum of its proper divisors (2648069808).

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

1099868880 is a wasteful number, since it uses less digits than its factorization.

1099868880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 57.

The square root of 1099868880 is about 33164.2711362695. The cubic root of 1099868880 is about 1032.2390978966.

The spelling of 1099868880 in words is "one billion, ninety-nine million, eight hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 137 165 176 220 240 264 274 330 411 440 528 548 660 685 822 880 1096 1320 1370 1507 1644 2055 2192 2640 2740 3014 3041 3288 4110 4521 5480 6028 6082 6576 7535 8220 9042 9123 10960 12056 12164 15070 15205 16440 18084 18246 22605 24112 24328 30140 30410 32880 33451 36168 36492 45210 45615 48656 60280 60820 66902 72336 72984 90420 91230 100353 120560 121640 133804 145968 167255 180840 182460 200706 243280 267608 334510 361680 364920 401412 416617 501765 535216 669020 729840 802824 833234 1003530 1249851 1338040 1605648 1666468 2007060 2083085 2499702 2676080 3332936 4014120 4166170 4582787 4999404 6249255 6665872 8028240 8332340 9165574 9998808 12498510 13748361 16664680 18331148 19997616 22913935 24997020 27496722 33329360 36662296 45827870 49994040 54993444 68741805 73324592 91655740 99988080 109986888 137483610 183311480 219973776 274967220 366622960 549934440 1099868880