Search a number
-
+
11240096 = 257192139
BaseRepresentation
bin101010111000…
…001010100000
3210011001111212
4222320022200
510334140341
61040525252
7164352650
oct52701240
923131455
1011240096
11638793a
123920828
13243715a
1416c8360
15ec05eb
hexab82a0

11240096 has 72 divisors (see below), whose sum is σ = 26883360. Its totient is φ = 4530816.

The previous prime is 11240087. The next prime is 11240129. The reversal of 11240096 is 69004211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80795 + ... + 80933.

It is an arithmetic number, because the mean of its divisors is an integer number (373380).

Almost surely, 211240096 is an apocalyptic number.

11240096 is a gapful number since it is divisible by the number (16) 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 11240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441680).

11240096 is an abundant number, since it is smaller than the sum of its proper divisors (15643264).

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

11240096 is a wasteful number, since it uses less digits than its factorization.

11240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 11240096 is about 3352.6252400171. The cubic root of 11240096 is about 224.0044641967.

The spelling of 11240096 in words is "eleven million, two hundred forty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 139 152 224 266 278 304 361 532 556 608 722 973 1064 1112 1444 1946 2128 2224 2527 2641 2888 3892 4256 4448 5054 5282 5776 7784 10108 10564 11552 15568 18487 20216 21128 31136 36974 40432 42256 50179 73948 80864 84512 100358 147896 200716 295792 351253 401432 591584 702506 802864 1405012 1605728 2810024 5620048 11240096