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11007468 = 2233101921
BaseRepresentation
bin101001111111…
…010111101100
3202201020102000
4221333113230
510304214333
61031532300
7162363513
oct51772754
922636360
1011007468
11623908a
12382a090
1323852c4
14166767a
15e76713
hexa7f5ec

11007468 has 24 divisors (see below), whose sum is σ = 28538160. Its totient is φ = 3669120.

The previous prime is 11007467. The next prime is 11007473. The reversal of 11007468 is 86470011.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11007467) 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, 50853 + ... + 51068.

It is an arithmetic number, because the mean of its divisors is an integer number (1189090).

Almost surely, 211007468 is an apocalyptic number.

11007468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11007468 is an abundant number, since it is smaller than the sum of its proper divisors (17530692).

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

11007468 is a wasteful number, since it uses less digits than its factorization.

11007468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101934 (or 101926 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11007468 is about 3317.7504426946. The cubic root of 11007468 is about 222.4483270149.

Adding to 11007468 its reverse (86470011), we get a palindrome (97477479).

The spelling of 11007468 in words is "eleven million, seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 101921 203842 305763 407684 611526 917289 1223052 1834578 2751867 3669156 5503734 11007468