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11325168 = 2432314359
BaseRepresentation
bin101011001100…
…111011110000
3210022101012200
4223030323300
510344401133
61042423200
7165155661
oct53147360
923271180
1011325168
116435848
123961b00
132466aaa
14170b368
15eda913
hexaccef0

11325168 has 120 divisors (see below), whose sum is σ = 34045440. Its totient is φ = 3507840.

The previous prime is 11325157. The next prime is 11325187. The reversal of 11325168 is 86152311.

Adding to 11325168 its reverse (86152311), we get a palindrome (97477479).

It can be divided in two parts, 113 and 25168, that added together give a square (25281 = 1592).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191923 + ... + 191981.

It is an arithmetic number, because the mean of its divisors is an integer number (283712).

Almost surely, 211325168 is an apocalyptic number.

11325168 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 11325168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022720).

11325168 is an abundant number, since it is smaller than the sum of its proper divisors (22720272).

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

11325168 is a wasteful number, since it uses less digits than its factorization.

11325168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11325168 is about 3365.2886948968. The cubic root of 11325168 is about 224.5681791855.

The spelling of 11325168 in words is "eleven million, three hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 43 48 59 62 72 86 93 118 124 129 144 172 177 186 236 248 258 279 344 354 372 387 472 496 516 531 558 688 708 744 774 944 1032 1062 1116 1333 1416 1488 1548 1829 2064 2124 2232 2537 2666 2832 3096 3658 3999 4248 4464 5074 5332 5487 6192 7316 7611 7998 8496 10148 10664 10974 11997 14632 15222 15996 16461 20296 21328 21948 22833 23994 29264 30444 31992 32922 40592 43896 45666 47988 60888 63984 65844 78647 87792 91332 95976 121776 131688 157294 182664 191952 235941 263376 314588 365328 471882 629176 707823 943764 1258352 1415646 1887528 2831292 3775056 5662584 11325168