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21541120 = 28516829
BaseRepresentation
bin101001000101…
…1000100000000
31111112101212021
41102023010000
521003303440
62045411224
7351045046
oct122130400
944471767
1021541120
1111183187
127269b14
134602a33
142c0a396
151d5784a
hex148b100

21541120 has 36 divisors (see below), whose sum is σ = 51600780. Its totient is φ = 8615936.

The previous prime is 21541099. The next prime is 21541127. The reversal of 21541120 is 2114512.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 18386944 = 1776^2 + 4288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21541094 and 21541103.

It is not an unprimeable number, because it can be changed into a prime (21541127) 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 3 ways as a sum of consecutive naturals, for example, 7135 + ... + 9694.

It is an arithmetic number, because the mean of its divisors is an integer number (1433355).

Almost surely, 221541120 is an apocalyptic number.

21541120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21541120 is an abundant number, since it is smaller than the sum of its proper divisors (30059660).

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

21541120 is an equidigital number, since it uses as much as digits as its factorization.

21541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16850 (or 16836 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 21541120 is about 4641.2412132963. The cubic root of 21541120 is about 278.2420471870.

Adding to 21541120 its reverse (2114512), we get a palindrome (23655632).

The spelling of 21541120 in words is "twenty-one million, five hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 16829 33658 67316 84145 134632 168290 269264 336580 538528 673160 1077056 1346320 2154112 2692640 4308224 5385280 10770560 21541120