Search a number
-
+
11676416 = 28172683
BaseRepresentation
bin101100100010…
…101100000000
3210222020000212
4230202230000
510442121131
61054133252
7201151013
oct54425400
923866025
1011676416
116655734
123ab1228
13255a92b
14179d37a
151059a2b
hexb22b00

11676416 has 36 divisors (see below), whose sum is σ = 24687432. Its totient is φ = 5492736.

The previous prime is 11676361. The next prime is 11676421. The reversal of 11676416 is 61467611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3011 + ... + 5693.

It is an arithmetic number, because the mean of its divisors is an integer number (685762).

Almost surely, 211676416 is an apocalyptic number.

11676416 is a gapful number since it is divisible by the number (16) 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 11676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343716).

11676416 is an abundant number, since it is smaller than the sum of its proper divisors (13011016).

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

11676416 is an equidigital number, since it uses as much as digits as its factorization.

11676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2702 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 11676416 is about 3417.0771135577. The cubic root of 11676416 is about 226.8662294773.

The spelling of 11676416 in words is "eleven million, six hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 2683 4352 5366 10732 21464 42928 45611 85856 91222 171712 182444 343424 364888 686848 729776 1459552 2919104 5838208 11676416