Search a number
-
+
11150720 = 275719131
BaseRepresentation
bin101010100010…
…010110000000
3202222111220122
4222202112000
510323310340
61034555412
7163531250
oct52422600
922874818
1011150720
116326779
123898b68
132405579
1416a3960
15ea3db5
hexaa2580

11150720 has 128 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3594240.

The previous prime is 11150707. The next prime is 11150747. The reversal of 11150720 is 2705111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85055 + ... + 85185.

It is an arithmetic number, because the mean of its divisors is an integer number (252450).

Almost surely, 211150720 is an apocalyptic number.

11150720 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 11150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

11150720 is an abundant number, since it is smaller than the sum of its proper divisors (21162880).

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

11150720 is a wasteful number, since it uses less digits than its factorization.

11150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 11150720 is about 3339.2693811671. The cubic root of 11150720 is about 223.4091571952.

Adding to 11150720 its reverse (2705111), we get a palindrome (13855831).

The spelling of 11150720 in words is "eleven million, one hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 131 133 140 152 160 190 224 262 266 280 304 320 380 448 524 532 560 608 640 655 665 760 896 917 1048 1064 1120 1216 1310 1330 1520 1834 2096 2128 2240 2432 2489 2620 2660 3040 3668 4192 4256 4480 4585 4978 5240 5320 6080 7336 8384 8512 9170 9956 10480 10640 12160 12445 14672 16768 17024 17423 18340 19912 20960 21280 24890 29344 34846 36680 39824 41920 42560 49780 58688 69692 73360 79648 83840 85120 87115 99560 117376 139384 146720 159296 174230 199120 278768 293440 318592 348460 398240 557536 586880 696920 796480 1115072 1393840 1592960 2230144 2787680 5575360 11150720