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11281896 = 2333192749
BaseRepresentation
bin101011000010…
…010111101000
3210020011212000
4223002113220
510342010041
61041451000
7164615553
oct53022750
923204760
1011281896
11640628a
123940a60
1324501a2
1416d969a
15eccbb6
hexac25e8

11281896 has 64 divisors (see below), whose sum is σ = 33000000. Its totient is φ = 3561408.

The previous prime is 11281883. The next prime is 11281901. The reversal of 11281896 is 69818211.

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 nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11281896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730 + ... + 5478.

It is an arithmetic number, because the mean of its divisors is an integer number (515625).

Almost surely, 211281896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11281896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16500000).

11281896 is an abundant number, since it is smaller than the sum of its proper divisors (21718104).

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

11281896 is a wasteful number, since it uses less digits than its factorization.

11281896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2773 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11281896 is about 3358.8533757817. The cubic root of 11281896 is about 224.2817988262.

The spelling of 11281896 in words is "eleven million, two hundred eighty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 2749 4104 5498 8247 10996 16494 21992 24741 32988 49482 52231 65976 74223 98964 104462 148446 156693 197928 208924 296892 313386 417848 470079 593784 626772 940158 1253544 1410237 1880316 2820474 3760632 5640948 11281896