Search a number
-
+
11108384 = 257101491
BaseRepresentation
bin101010011000…
…000000100000
3202220100211122
4222120000200
510320432014
61034031412
7163263650
oct52300040
922810748
1011108384
1162a7991
123878568
1323bc211
141692360
15e9658e
hexa98020

11108384 has 48 divisors (see below), whose sum is σ = 25292736. Its totient is φ = 4704000.

The previous prime is 11108381. The next prime is 11108387. The reversal of 11108384 is 48380111.

It is an interprime number because it is at equal distance from previous prime (11108381) and next prime (11108387).

It is not an unprimeable number, because it can be changed into a prime (11108381) 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, 22379 + ... + 22869.

It is an arithmetic number, because the mean of its divisors is an integer number (526932).

Almost surely, 211108384 is an apocalyptic number.

11108384 is a gapful number since it is divisible by the number (14) 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 11108384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646368).

11108384 is an abundant number, since it is smaller than the sum of its proper divisors (14184352).

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

11108384 is a wasteful number, since it uses less digits than its factorization.

11108384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 11108384 is about 3332.9242415633. The cubic root of 11108384 is about 223.1260590199.

Adding to 11108384 its reverse (48380111), we get a palindrome (59488495).

The spelling of 11108384 in words is "eleven million, one hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 404 491 707 808 982 1414 1616 1964 2828 3232 3437 3928 5656 6874 7856 11312 13748 15712 22624 27496 49591 54992 99182 109984 198364 347137 396728 694274 793456 1388548 1586912 2777096 5554192 11108384