Search a number
-
+
11475968 = 21071601
BaseRepresentation
bin101011110001…
…110000000000
3210121001001212
4223301300000
510414212333
61045545252
7166354430
oct53616000
923531055
1011475968
116529079
123a15228
1324ba61a
14174a2c0
15101a448
hexaf1c00

11475968 has 44 divisors (see below), whose sum is σ = 26234352. Its totient is φ = 4915200.

The previous prime is 11475929. The next prime is 11475977. The reversal of 11475968 is 86957411.

It is a congruent number.

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, 6368 + ... + 7968.

Almost surely, 211475968 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 11475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117176).

11475968 is an abundant number, since it is smaller than the sum of its proper divisors (14758384).

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

11475968 is an equidigital number, since it uses as much as digits as its factorization.

11475968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1610 counting only the distinct ones).

The product of its digits is 60480, while the sum is 41.

The square root of 11475968 is about 3387.6198133793. The cubic root of 11475968 is about 225.5605316331.

The spelling of 11475968 in words is "eleven million, four hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1601 1792 3202 3584 6404 7168 11207 12808 22414 25616 44828 51232 89656 102464 179312 204928 358624 409856 717248 819712 1434496 1639424 2868992 5737984 11475968