Search a number
-
+
11677296 = 243673631
BaseRepresentation
bin101100100010…
…111001110000
3210222021020110
4230202321300
510442133141
61054141320
7201153411
oct54427160
923867213
1011677296
116656364
123ab1840
13255b157
14179d808
151059e16
hexb22e70

11677296 has 40 divisors (see below), whose sum is σ = 30625024. Its totient is φ = 3833280.

The previous prime is 11677271. The next prime is 11677313. The reversal of 11677296 is 69277611.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1401 + ... + 5031.

Almost surely, 211677296 is an apocalyptic number.

11677296 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 11677296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312512).

11677296 is an abundant number, since it is smaller than the sum of its proper divisors (18947728).

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

11677296 is a wasteful number, since it uses less digits than its factorization.

11677296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3703 counting only the distinct ones).

The product of its digits is 31752, while the sum is 39.

The square root of 11677296 is about 3417.2058761509. The cubic root of 11677296 is about 226.8719286366.

The spelling of 11677296 in words is "eleven million, six hundred seventy-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 3631 7262 10893 14524 21786 29048 43572 58096 87144 174288 243277 486554 729831 973108 1459662 1946216 2919324 3892432 5838648 11677296