Search a number
-
+
11300160 = 263579149
BaseRepresentation
bin101011000110…
…110101000000
3210021002220110
4223012311000
510343101120
61042111320
7165023034
oct53066500
923232813
1011300160
116418a83
12394b540
1324585b1
1417021c4
15ed32e0
hexac6d40

11300160 has 112 divisors (see below), whose sum is σ = 36576000. Its totient is φ = 2955264.

The previous prime is 11300143. The next prime is 11300167. The reversal of 11300160 is 6100311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75766 + ... + 75914.

Almost surely, 211300160 is an apocalyptic number.

11300160 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 11300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288000).

11300160 is an abundant number, since it is smaller than the sum of its proper divisors (25275840).

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

11300160 is a wasteful number, since it uses less digits than its factorization.

11300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 11300160 is about 3361.5710612748. The cubic root of 11300160 is about 224.4027617773.

Adding to 11300160 its reverse (6100311), we get a palindrome (17400471).

The spelling of 11300160 in words is "eleven million, three hundred thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 149 158 160 192 237 240 298 316 320 395 447 474 480 596 632 745 790 894 948 960 1185 1192 1264 1490 1580 1788 1896 2235 2370 2384 2528 2980 3160 3576 3792 4470 4740 4768 5056 5960 6320 7152 7584 8940 9480 9536 11771 11920 12640 14304 15168 17880 18960 23542 23840 25280 28608 35313 35760 37920 47084 47680 58855 70626 71520 75840 94168 117710 141252 143040 176565 188336 235420 282504 353130 376672 470840 565008 706260 753344 941680 1130016 1412520 1883360 2260032 2825040 3766720 5650080 11300160