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11160072 = 2333711261
BaseRepresentation
bin101010100100…
…101000001000
3202222222202000
4222210220020
510324110242
61035111000
7163600440
oct52445010
922888660
1011160072
116332800
1238a2460
1324098c1
1416a7120
15ea6a4c
hexaa4a08

11160072 has 192 divisors, whose sum is σ = 39580800. Its totient is φ = 2851200.

The previous prime is 11160043. The next prime is 11160073. The reversal of 11160072 is 27006111.

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

It is not an unprimeable number, because it can be changed into a prime (11160073) 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, 182922 + ... + 182982.

It is an arithmetic number, because the mean of its divisors is an integer number (206150).

Almost surely, 211160072 is an apocalyptic number.

11160072 is a gapful number since it is divisible by the number (12) 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 11160072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19790400).

11160072 is an abundant number, since it is smaller than the sum of its proper divisors (28420728).

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

11160072 is a wasteful number, since it uses less digits than its factorization.

11160072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11160072 is about 3340.6693939988. The cubic root of 11160072 is about 223.4715967689.

Adding to 11160072 its reverse (27006111), we get a palindrome (38166183).

The spelling of 11160072 in words is "eleven million, one hundred sixty thousand, seventy-two".