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4466020 = 2251389193
BaseRepresentation
bin10001000010010101100100
322101220020011
4101002111210
52120403040
6235420004
752650316
oct21022544
98356204
104466020
112580429
1215b4604
13c04a20
148437b6
155d33ea
hex442564

4466020 has 48 divisors (see below), whose sum is σ = 10266480. Its totient is φ = 1622016.

The previous prime is 4466017. The next prime is 4466027. The reversal of 4466020 is 206644.

It can be written as a sum of positive squares in 8 ways, for example, as 1290496 + 3175524 = 1136^2 + 1782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4465982 and 4466000.

It is not an unprimeable number, because it can be changed into a prime (4466027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23044 + ... + 23236.

It is an arithmetic number, because the mean of its divisors is an integer number (213885).

Almost surely, 24466020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4466020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133240).

4466020 is an abundant number, since it is smaller than the sum of its proper divisors (5800460).

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

4466020 is a wasteful number, since it uses less digits than its factorization.

4466020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4466020 is about 2113.2960038764. The cubic root of 4466020 is about 164.6797584117.

The spelling of 4466020 in words is "four million, four hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 193 260 356 386 445 772 890 965 1157 1780 1930 2314 2509 3860 4628 5018 5785 10036 11570 12545 17177 23140 25090 34354 50180 68708 85885 171770 223301 343540 446602 893204 1116505 2233010 4466020