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2020464 = 24341559
BaseRepresentation
bin111101101010001110000
310210122120000
413231101300
51004123324
6111150000
723113365
oct7552160
93718500
102020464
111160006
12815300
13559854
143a846c
1529d9c9
hex1ed470

2020464 has 50 divisors (see below), whose sum is σ = 5851560. Its totient is φ = 673056.

The previous prime is 2020463. The next prime is 2020471. The reversal of 2020464 is 4640202.

2020464 is a `hidden beast` number, since 202 + 0 + 464 = 666.

2020464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020463) 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 9 ways as a sum of consecutive naturals, for example, 517 + ... + 2075.

22020464 is an apocalyptic number.

2020464 is a gapful number since it is divisible by the number (24) 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 2020464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925780).

2020464 is an abundant number, since it is smaller than the sum of its proper divisors (3831096).

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

2020464 is a wasteful number, since it uses less digits than its factorization.

2020464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2020464 is about 1421.4302656128. The cubic root of 2020464 is about 126.4203647154.

Adding to 2020464 its reverse (4640202), we get a palindrome (6660666).

The spelling of 2020464 in words is "two million, twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1559 3118 4677 6236 9354 12472 14031 18708 24944 28062 37416 42093 56124 74832 84186 112248 126279 168372 224496 252558 336744 505116 673488 1010232 2020464