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11677484 = 2272134583
BaseRepresentation
bin101100100010…
…111100101100
3210222021111102
4230202330230
510442134414
61054142232
7201154100
oct54427454
923867442
1011677484
116656515
123ab1978
13255b270
14179d900
151059ede
hexb22f2c

11677484 has 36 divisors (see below), whose sum is σ = 25606224. Its totient is φ = 4618656.

The previous prime is 11677481. The next prime is 11677493. The reversal of 11677484 is 48477611.

11677484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11677481) 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, 257 + ... + 4839.

It is an arithmetic number, because the mean of its divisors is an integer number (711284).

Almost surely, 211677484 is an apocalyptic number.

11677484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11677484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803112).

11677484 is an abundant number, since it is smaller than the sum of its proper divisors (13928740).

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

11677484 is a wasteful number, since it uses less digits than its factorization.

11677484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4605 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 11677484 is about 3417.2333838941. The cubic root of 11677484 is about 226.8731461472.

The spelling of 11677484 in words is "eleven million, six hundred seventy-seven thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 4583 9166 18332 32081 59579 64162 119158 128324 224567 238316 417053 449134 834106 898268 1668212 2919371 5838742 11677484