Search a number
-
+
11305032 = 2331273709
BaseRepresentation
bin101011001000…
…000001001000
3210021100120220
4223020001020
510343230112
61042150040
7165043164
oct53100110
923240526
1011305032
116421702
123952320
13245a88b
141703ca4
15ed498c
hexac8048

11305032 has 32 divisors (see below), whose sum is σ = 28492800. Its totient is φ = 3737664.

The previous prime is 11305003. The next prime is 11305037. The reversal of 11305032 is 23050311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11305037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194 + ... + 4902.

It is an arithmetic number, because the mean of its divisors is an integer number (890400).

Almost surely, 211305032 is an apocalyptic number.

11305032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11305032 is an abundant number, since it is smaller than the sum of its proper divisors (17187768).

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

11305032 is a wasteful number, since it uses less digits than its factorization.

11305032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 11305032 is about 3362.2956443478. The cubic root of 11305032 is about 224.4350071369.

Adding to 11305032 its reverse (23050311), we get a palindrome (34355343).

The spelling of 11305032 in words is "eleven million, three hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 3048 3709 7418 11127 14836 22254 29672 44508 89016 471043 942086 1413129 1884172 2826258 3768344 5652516 11305032