Search a number
-
+
11004840 = 23325711397
BaseRepresentation
bin101001111110…
…101110101000
3202201002210200
4221332232220
510304123330
61031512200
7162353040
oct51765650
922632720
1011004840
116237110
123828660
132384052
141666720
15e75a60
hexa7eba8

11004840 has 192 divisors, whose sum is σ = 44703360. Its totient is φ = 2280960.

The previous prime is 11004839. The next prime is 11004841. The reversal of 11004840 is 4840011.

It is an interprime number because it is at equal distance from previous prime (11004839) and next prime (11004841).

It is a super-2 number, since 2×110048402 = 242213006851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27522 + ... + 27918.

It is an arithmetic number, because the mean of its divisors is an integer number (232830).

Almost surely, 211004840 is an apocalyptic number.

11004840 is a gapful number since it is divisible by the number (10) 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 11004840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22351680).

11004840 is an abundant number, since it is smaller than the sum of its proper divisors (33698520).

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

11004840 is a wasteful number, since it uses less digits than its factorization.

11004840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11004840 is about 3317.3543675646. The cubic root of 11004840 is about 222.4306226487.

Adding to 11004840 its reverse (4840011), we get a palindrome (15844851).

The spelling of 11004840 in words is "eleven million, four thousand, eight hundred forty".