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11717328 = 243743811
BaseRepresentation
bin101100101100…
…101011010000
3211001022011010
4230230223100
510444423303
61055050520
7201411210
oct54545320
924038133
1011717328
116683447
123b10a40
13257343c
1417b0240
151066c03
hexb2cad0

11717328 has 80 divisors (see below), whose sum is σ = 35442176. Its totient is φ = 3265920.

The previous prime is 11717323. The next prime is 11717333. The reversal of 11717328 is 82371711.

It is an interprime number because it is at equal distance from previous prime (11717323) and next prime (11717333).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11717295 and 11717304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11717323) 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 15 ways as a sum of consecutive naturals, for example, 14043 + ... + 14853.

Almost surely, 211717328 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 11717328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721088).

11717328 is an abundant number, since it is smaller than the sum of its proper divisors (23724848).

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

11717328 is a wasteful number, since it uses less digits than its factorization.

11717328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 11717328 is about 3423.0582817124. The cubic root of 11717328 is about 227.1308863707.

The spelling of 11717328 in words is "eleven million, seven hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 811 903 1032 1204 1622 1806 2064 2408 2433 3244 3612 4816 4866 5677 6488 7224 9732 11354 12976 14448 17031 19464 22708 34062 34873 38928 45416 68124 69746 90832 104619 136248 139492 209238 244111 272496 278984 418476 488222 557968 732333 836952 976444 1464666 1673904 1952888 2929332 3905776 5858664 11717328