Search a number
-
+
11316888 = 2333112433
BaseRepresentation
bin101011001010…
…111010011000
3210021221212000
4223022322120
510344120023
61042321000
7165122562
oct53127230
923257760
1011316888
11642a600
123959160
1324630ab
141708332
15ed8243
hexacae98

11316888 has 96 divisors (see below), whose sum is σ = 34633200. Its totient is φ = 3421440.

The previous prime is 11316881. The next prime is 11316911. The reversal of 11316888 is 88861311.

11316888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11316881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25920 + ... + 26352.

Almost surely, 211316888 is an apocalyptic number.

11316888 is a gapful number since it is divisible by the number (18) 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 11316888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316600).

11316888 is an abundant number, since it is smaller than the sum of its proper divisors (23316312).

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

11316888 is a wasteful number, since it uses less digits than its factorization.

11316888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 449 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 11316888 is about 3364.0582634669. The cubic root of 11316888 is about 224.5134374557.

The spelling of 11316888 in words is "eleven million, three hundred sixteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 433 484 594 726 792 866 968 1089 1188 1299 1452 1732 2178 2376 2598 2904 3267 3464 3897 4356 4763 5196 6534 7794 8712 9526 10392 11691 13068 14289 15588 19052 23382 26136 28578 31176 38104 42867 46764 52393 57156 85734 93528 104786 114312 128601 157179 171468 209572 257202 314358 342936 419144 471537 514404 628716 943074 1028808 1257432 1414611 1886148 2829222 3772296 5658444 11316888