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11332704 = 253971217
BaseRepresentation
bin101011001110…
…110001100000
3210022202112210
4223032301200
510400121304
61042522120
7165216645
oct53166140
923282483
1011332704
116440479
123966340
13246a356
14170ddcc
15edcc89
hexacec60

11332704 has 48 divisors (see below), whose sum is σ = 30079728. Its totient is φ = 3735552.

The previous prime is 11332703. The next prime is 11332709. The reversal of 11332704 is 40723311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332703) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8704 + ... + 9920.

It is an arithmetic number, because the mean of its divisors is an integer number (626661).

Almost surely, 211332704 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 11332704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039864).

11332704 is an abundant number, since it is smaller than the sum of its proper divisors (18747024).

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

11332704 is a wasteful number, since it uses less digits than its factorization.

11332704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 11332704 is about 3366.4081748950. The cubic root of 11332704 is about 224.6179789048.

The spelling of 11332704 in words is "eleven million, three hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1217 1552 2328 2434 3104 3651 4656 4868 7302 9312 9736 14604 19472 29208 38944 58416 116832 118049 236098 354147 472196 708294 944392 1416588 1888784 2833176 3777568 5666352 11332704