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8421120 = 283251743
BaseRepresentation
bin100000000111…
…111100000000
3120211211121100
4200013330000
54123433440
6500254400
7131402241
oct40077400
916754540
108421120
114831a04
1229a1400
13198b016
141192cc8
15b15230
hex807f00

8421120 has 216 divisors, whose sum is σ = 31567536. Its totient is φ = 2064384.

The previous prime is 8421079. The next prime is 8421143. The reversal of 8421120 is 211248.

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 = 8421093 and 8421102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195819 + ... + 195861.

It is an arithmetic number, because the mean of its divisors is an integer number (146146).

Almost surely, 28421120 is an apocalyptic number.

8421120 is a gapful number since it is divisible by the number (80) 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 8421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783768).

8421120 is an abundant number, since it is smaller than the sum of its proper divisors (23146416).

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

8421120 is a wasteful number, since it uses less digits than its factorization.

8421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8421120 is about 2901.9166080368. The cubic root of 8421120 is about 203.4494961673.

Adding to 8421120 its product of nonzero digits (128), we get a palindrome (8421248).

Adding to 8421120 its reverse (211248), we get a palindrome (8632368).

The spelling of 8421120 in words is "eight million, four hundred twenty-one thousand, one hundred twenty".