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11001340 = 2257179439
BaseRepresentation
bin101001111101…
…110111111100
3202200221000001
4221331313330
510304020330
61031444044
7162336610
oct51756774
922627001
1011001340
116234519
123826624
13238258c
141665340
15e749ca
hexa7ddfc

11001340 has 48 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 3742272.

The previous prime is 11001313. The next prime is 11001371. The reversal of 11001340 is 4310011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24841 + ... + 25279.

It is an arithmetic number, because the mean of its divisors is an integer number (554400).

Almost surely, 211001340 is an apocalyptic number.

11001340 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 11001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

11001340 is an abundant number, since it is smaller than the sum of its proper divisors (15609860).

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

11001340 is a wasteful number, since it uses less digits than its factorization.

11001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11001340 is about 3316.8267968044. The cubic root of 11001340 is about 222.4070393973.

Adding to 11001340 its reverse (4310011), we get a palindrome (15311351).

The spelling of 11001340 in words is "eleven million, one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 439 716 878 895 1253 1756 1790 2195 2506 3073 3580 4390 5012 6146 6265 8780 12292 12530 15365 25060 30730 61460 78581 157162 314324 392905 550067 785810 1100134 1571620 2200268 2750335 5500670 11001340