Search a number
-
+
11596928 = 2772432
BaseRepresentation
bin101100001111…
…010010000000
3210211011222212
4230033102000
510432100203
61052321252
7200400200
oct54172200
923734885
1011596928
116600a42
123a73228
1325306b5
14177c400
1510411d8
hexb0f480

11596928 has 72 divisors (see below), whose sum is σ = 27514755. Its totient is φ = 4854528.

The previous prime is 11596919. The next prime is 11596933. The reversal of 11596928 is 82969511.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5798464 + 5798464 = 2408^2 + 2408^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2408.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 269675 + ... + 269717.

Almost surely, 211596928 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 11596928

11596928 is an abundant number, since it is smaller than the sum of its proper divisors (15917827).

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

11596928 is an frugal number, since it uses more digits than its factorization.

11596928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 52 counting only the distinct ones).

The product of its digits is 38880, while the sum is 41.

The square root of 11596928 is about 3405.4262581944. The cubic root of 11596928 is about 226.3502544003.

The spelling of 11596928 in words is "eleven million, five hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 128 172 196 224 301 344 392 448 602 688 784 896 1204 1376 1568 1849 2107 2408 2752 3136 3698 4214 4816 5504 6272 7396 8428 9632 12943 14792 16856 19264 25886 29584 33712 38528 51772 59168 67424 90601 103544 118336 134848 181202 207088 236672 269696 362404 414176 724808 828352 1449616 1656704 2899232 5798464 11596928