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11141320 = 235713923
BaseRepresentation
bin101010100000…
…000011001000
3202222001000111
4222200003020
510323010240
61034444104
7163461661
oct52400310
922861014
1011141320
11631a703
123893634
1324011c8
1416a0368
15ea11ea
hexaa00c8

11141320 has 32 divisors (see below), whose sum is σ = 25427520. Its totient is φ = 4392640.

The previous prime is 11141309. The next prime is 11141321. The reversal of 11141320 is 2314111.

It is a super-2 number, since 2×111413202 = 248258022684800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11141320.

It is not an unprimeable number, because it can be changed into a prime (11141321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879 + ... + 4801.

It is an arithmetic number, because the mean of its divisors is an integer number (794610).

Almost surely, 211141320 is an apocalyptic number.

11141320 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 11141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713760).

11141320 is an abundant number, since it is smaller than the sum of its proper divisors (14286200).

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

11141320 is a wasteful number, since it uses less digits than its factorization.

11141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11141320 is about 3337.8615908992. The cubic root of 11141320 is about 223.3463619537.

Adding to 11141320 its reverse (2314111), we get a palindrome (13455431).

The spelling of 11141320 in words is "eleven million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 3923 7846 15692 19615 31384 39230 78460 156920 278533 557066 1114132 1392665 2228264 2785330 5570660 11141320