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11168080 = 245731137
BaseRepresentation
bin101010100110…
…100101010000
3210000101201121
4222212211100
510324334310
61035212024
7163633000
oct52464520
923011647
1011168080
116338820
1238a7014
132410441
1416aa000
15ea90da
hexaa6950

11168080 has 160 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 3386880.

The previous prime is 11168077. The next prime is 11168137. The reversal of 11168080 is 8086111.

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, 301822 + ... + 301858.

It is an arithmetic number, because the mean of its divisors is an integer number (212040).

Almost surely, 211168080 is an apocalyptic number.

11168080 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 11168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

11168080 is an abundant number, since it is smaller than the sum of its proper divisors (22758320).

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

11168080 is a wasteful number, since it uses less digits than its factorization.

11168080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 11168080 is about 3341.8677412489. The cubic root of 11168080 is about 223.5250352736.

The spelling of 11168080 in words is "eleven million, one hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 37 40 44 49 55 56 70 74 77 80 88 98 110 112 140 148 154 176 185 196 220 245 259 280 296 308 343 370 385 392 407 440 490 518 539 560 592 616 686 740 770 784 814 880 980 1036 1078 1232 1295 1372 1480 1540 1628 1715 1813 1960 2035 2072 2156 2590 2695 2744 2849 2960 3080 3256 3430 3626 3773 3920 4070 4144 4312 5180 5390 5488 5698 6160 6512 6860 7252 7546 8140 8624 9065 10360 10780 11396 12691 13720 14245 14504 15092 16280 18130 18865 19943 20720 21560 22792 25382 27440 28490 29008 30184 32560 36260 37730 39886 43120 45584 50764 56980 60368 63455 72520 75460 79772 99715 101528 113960 126910 139601 145040 150920 159544 199430 203056 227920 253820 279202 301840 319088 398860 507640 558404 698005 797720 1015280 1116808 1396010 1595440 2233616 2792020 5584040 11168080