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11814948 = 22322911317
BaseRepresentation
bin101101000100…
…100000100100
3211020021001200
4231010200210
511011034243
61101122500
7202265625
oct55044044
924207050
1011814948
11673a822
123b59430
1325a89c2
1417d7a4c
151085ad3
hexb44824

11814948 has 36 divisors (see below), whose sum is σ = 30898140. Its totient is φ = 3802176.

The previous prime is 11814947. The next prime is 11814973. The reversal of 11814948 is 84941811.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 2377764 = 3072^2 + 1542^2 .

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 not an unprimeable number, because it can be changed into a prime (11814947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4615 + ... + 6702.

Almost surely, 211814948 is an apocalyptic number.

11814948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11814948 is an abundant number, since it is smaller than the sum of its proper divisors (19083192).

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

11814948 is a wasteful number, since it uses less digits than its factorization.

11814948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356 (or 11351 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 11814948 is about 3437.2878843646. The cubic root of 11814948 is about 227.7599042269.

The spelling of 11814948 in words is "eleven million, eight hundred fourteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 11317 22634 33951 45268 67902 101853 135804 203706 328193 407412 656386 984579 1312772 1969158 2953737 3938316 5907474 11814948