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11004640 = 255109631
BaseRepresentation
bin101001111110…
…101011100000
3202201002112021
4221332223200
510304122030
61031511224
7162352333
oct51765340
922632467
1011004640
116236a49
123828514
132383c2a
14166661a
15e7597a
hexa7eae0

11004640 has 48 divisors (see below), whose sum is σ = 26278560. Its totient is φ = 4354560.

The previous prime is 11004611. The next prime is 11004647. The reversal of 11004640 is 4640011.

It is a happy number.

It is a super-2 number, since 2×110046402 = 242204203059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17125 + ... + 17755.

It is an arithmetic number, because the mean of its divisors is an integer number (547470).

Almost surely, 211004640 is an apocalyptic number.

11004640 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 11004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139280).

11004640 is an abundant number, since it is smaller than the sum of its proper divisors (15273920).

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

11004640 is a wasteful number, since it uses less digits than its factorization.

11004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11004640 is about 3317.3242229243. The cubic root of 11004640 is about 222.4292751691.

Adding to 11004640 its reverse (4640011), we get a palindrome (15644651).

The spelling of 11004640 in words is "eleven million, four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 631 872 1090 1262 1744 2180 2524 3155 3488 4360 5048 6310 8720 10096 12620 17440 20192 25240 50480 68779 100960 137558 275116 343895 550232 687790 1100464 1375580 2200928 2751160 5502320 11004640