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11541420 = 22335112967
BaseRepresentation
bin101100000001…
…101110101100
3210201100212000
4230001232230
510423311140
61051212300
7200046312
oct54015654
923640760
1011541420
116573270
123a47090
132511357
1417660b2
15102ea30
hexb01bac

11541420 has 192 divisors, whose sum is σ = 41126400. Its totient is φ = 2661120.

The previous prime is 11541407. The next prime is 11541421. The reversal of 11541420 is 2414511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11541393 and 11541402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11541421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172227 + ... + 172293.

It is an arithmetic number, because the mean of its divisors is an integer number (214200).

Almost surely, 211541420 is an apocalyptic number.

11541420 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 11541420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

11541420 is an abundant number, since it is smaller than the sum of its proper divisors (29584980).

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

11541420 is a wasteful number, since it uses less digits than its factorization.

11541420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11541420 is about 3397.2665482708. The cubic root of 11541420 is about 225.9885393724.

Adding to 11541420 its reverse (2414511), we get a palindrome (13955931).

The spelling of 11541420 in words is "eleven million, five hundred forty-one thousand, four hundred twenty".