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11887380 = 2232566041
BaseRepresentation
bin101101010110…
…001100010100
3211100221102100
4231112030110
511020344010
61102442100
7203020041
oct55261424
924327370
1011887380
11678a18a
123b93330
13260296b
1418161c8
15109c2c0
hexb56314

11887380 has 36 divisors (see below), whose sum is σ = 36058932. Its totient is φ = 3169920.

The previous prime is 11887373. The next prime is 11887387. The reversal of 11887380 is 8378811.

It is an interprime number because it is at equal distance from previous prime (11887373) and next prime (11887387).

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 7064964 = 2196^2 + 2658^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11887387) 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 11 ways as a sum of consecutive naturals, for example, 32841 + ... + 33200.

It is an arithmetic number, because the mean of its divisors is an integer number (1001637).

Almost surely, 211887380 is an apocalyptic number.

11887380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11887380 is an abundant number, since it is smaller than the sum of its proper divisors (24171552).

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

11887380 is a wasteful number, since it uses less digits than its factorization.

11887380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66056 (or 66051 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 11887380 is about 3447.8079992946. The cubic root of 11887380 is about 228.2243866685.

The spelling of 11887380 in words is "eleven million, eight hundred eighty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 66041 132082 198123 264164 330205 396246 594369 660410 792492 990615 1188738 1320820 1981230 2377476 2971845 3962460 5943690 11887380