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4800420 = 2232526669
BaseRepresentation
bin10010010011111110100100
3100000212221100
4102103332210
52212103140
6250520100
755542252
oct22237644
910025840
104800420
112789699
121736030
13cc0cb1
148cd5d2
1564c530
hex493fa4

4800420 has 36 divisors (see below), whose sum is σ = 14561820. Its totient is φ = 1280064.

The previous prime is 4800401. The next prime is 4800421. The reversal of 4800420 is 240084.

It is a happy number.

4800420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 1205604 = 1896^2 + 1098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 4800393 and 4800402.

It is not an unprimeable number, because it can be changed into a prime (4800421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13155 + ... + 13514.

It is an arithmetic number, because the mean of its divisors is an integer number (404495).

Almost surely, 24800420 is an apocalyptic number.

It is an amenable number.

4800420 is an abundant number, since it is smaller than the sum of its proper divisors (9761400).

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

4800420 is a wasteful number, since it uses less digits than its factorization.

4800420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26684 (or 26679 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4800420 is about 2190.9860793716. The cubic root of 4800420 is about 168.6914529407.

The spelling of 4800420 in words is "four million, eight hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 26669 53338 80007 106676 133345 160014 240021 266690 320028 400035 480042 533380 800070 960084 1200105 1600140 2400210 4800420