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11002420 = 22511133847
BaseRepresentation
bin101001111110…
…001000110100
3202200222111001
4221332020310
510304034140
61031453044
7162343012
oct51761064
922628431
1011002420
116235310
123827184
132382c10
1416658b2
15e74e9a
hexa7e234

11002420 has 48 divisors (see below), whose sum is σ = 27151488. Its totient is φ = 3692160.

The previous prime is 11002399. The next prime is 11002423. The reversal of 11002420 is 2420011.

11002420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

11002420 is a modest number, since divided by 2420 gives 1100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11002397 and 11002406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937 + ... + 4783.

It is an arithmetic number, because the mean of its divisors is an integer number (565656).

Almost surely, 211002420 is an apocalyptic number.

11002420 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 11002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575744).

11002420 is an abundant number, since it is smaller than the sum of its proper divisors (16149068).

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

11002420 is a wasteful number, since it uses less digits than its factorization.

11002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11002420 is about 3316.9895990190. The cubic root of 11002420 is about 222.4143170484.

Adding to 11002420 its reverse (2420011), we get a palindrome (13422431).

The spelling of 11002420 in words is "eleven million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 3847 7694 15388 19235 38470 42317 50011 76940 84634 100022 169268 200044 211585 250055 423170 500110 550121 846340 1000220 1100242 2200484 2750605 5501210 11002420