Search a number
-
+
11324928 = 29373101
BaseRepresentation
bin101011001100…
…111000000000
3210022100212210
4223030320000
510344344203
61042422120
7165155166
oct53147000
923270783
1011324928
11643564a
123961940
132466954
14170b236
15eda803
hexacce00

11324928 has 80 divisors (see below), whose sum is σ = 30886416. Its totient is φ = 3686400.

The previous prime is 11324921. The next prime is 11324959. The reversal of 11324928 is 82942311.

It is a junction number, because it is equal to n+sod(n) for n = 11324895 and 11324904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112078 + ... + 112178.

Almost surely, 211324928 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 11324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15443208).

11324928 is an abundant number, since it is smaller than the sum of its proper divisors (19561488).

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

11324928 is an equidigital number, since it uses as much as digits as its factorization.

11324928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11324928 is about 3365.2530365487. The cubic root of 11324928 is about 224.5665928443.

The spelling of 11324928 in words is "eleven million, three hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 101 128 146 192 202 219 256 292 303 384 404 438 512 584 606 768 808 876 1168 1212 1536 1616 1752 2336 2424 3232 3504 4672 4848 6464 7008 7373 9344 9696 12928 14016 14746 18688 19392 22119 25856 28032 29492 37376 38784 44238 51712 56064 58984 77568 88476 112128 117968 155136 176952 235936 353904 471872 707808 943744 1415616 1887488 2831232 3774976 5662464 11324928