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11130240 = 2735111731
BaseRepresentation
bin101010011101…
…010110000000
3202221110211010
4222131112000
510322131430
61034320520
7163414452
oct52352600
922843733
1011130240
116312350
123889140
1323c9154
14169a2d2
15e9ccb0
hexa9d580

11130240 has 256 divisors, whose sum is σ = 42301440. Its totient is φ = 2457600.

The previous prime is 11130227. The next prime is 11130253. The reversal of 11130240 is 4203111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11130227) and next prime (11130253).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359025 + ... + 359055.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 211130240 is an apocalyptic number.

11130240 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 11130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720).

11130240 is an abundant number, since it is smaller than the sum of its proper divisors (31171200).

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

11130240 is a wasteful number, since it uses less digits than its factorization.

11130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11130240 is about 3336.2014327675. The cubic root of 11130240 is about 223.2722983629.

Adding to 11130240 its reverse (4203111), we get a palindrome (15333351).

The spelling of 11130240 in words is "eleven million, one hundred thirty thousand, two hundred forty".