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11485764 = 2232319049
BaseRepresentation
bin101011110100…
…001001000100
3210121112111200
4223310021010
510420021024
61050102500
7166425123
oct53641104
923545450
1011485764
116535474
123a1aa30
1324c1c14
14174daba
15101d2c9
hexaf4244

11485764 has 18 divisors (see below), whose sum is σ = 29033550. Its totient is φ = 3828576.

The previous prime is 11485757. The next prime is 11485807. The reversal of 11485764 is 46758411.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9548100 + 1937664 = 3090^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 319049 = 11485764 / (1 + 1 + 4 + 8 + 5 + 7 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159489 + ... + 159560.

It is an arithmetic number, because the mean of its divisors is an integer number (1612975).

Almost surely, 211485764 is an apocalyptic number.

It is an amenable number.

11485764 is an abundant number, since it is smaller than the sum of its proper divisors (17547786).

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

11485764 is a wasteful number, since it uses less digits than its factorization.

11485764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319059 (or 319054 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 11485764 is about 3389.0653578826. The cubic root of 11485764 is about 225.6246936151.

It can be divided in two parts, 114857 and 64, that added together give a square (114921 = 3392).

The spelling of 11485764 in words is "eleven million, four hundred eighty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 319049 638098 957147 1276196 1914294 2871441 3828588 5742882 11485764