Search a number
-
+
11264460 = 2235197953
BaseRepresentation
bin101010111110…
…000111001100
3210012021221020
4222332013030
510340430320
61041234140
7164513664
oct52760714
923167836
1011264460
1163a4179
123932950
13244527c
1416d31a4
15ec7940
hexabe1cc

11264460 has 48 divisors (see below), whose sum is σ = 31733856. Its totient is φ = 2985472.

The previous prime is 11264459. The next prime is 11264467. The reversal of 11264460 is 6446211.

It is a self number, because there is not a number n which added to its sum of digits gives 11264460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264467) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11344 + ... + 12296.

It is an arithmetic number, because the mean of its divisors is an integer number (661122).

Almost surely, 211264460 is an apocalyptic number.

11264460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11264460 is an abundant number, since it is smaller than the sum of its proper divisors (20469396).

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

11264460 is a wasteful number, since it uses less digits than its factorization.

11264460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 11264460 is about 3356.2568435684. The cubic root of 11264460 is about 224.1661978742.

The spelling of 11264460 in words is "eleven million, two hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 953 985 1182 1906 1970 2364 2859 2955 3812 3940 4765 5718 5910 9530 11436 11820 14295 19060 28590 57180 187741 375482 563223 750964 938705 1126446 1877410 2252892 2816115 3754820 5632230 11264460