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2004412560 = 24358351719
BaseRepresentation
bin111011101111000…
…1110100010010000
312011200122201010020
41313132032202100
513101112200220
6530521303440
7100446140253
oct16736164220
95150581106
102004412560
11939490907
1247b334b80
1325c360947
141502c709a
15bae85040
hex7778e890

2004412560 has 40 divisors (see below), whose sum is σ = 6213679680. Its totient is φ = 534509952.

The previous prime is 2004412541. The next prime is 2004412583. The reversal of 2004412560 is 652144002.

2004412560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2004412560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4175620 + ... + 4176099.

It is an arithmetic number, because the mean of its divisors is an integer number (155341992).

Almost surely, 22004412560 is an apocalyptic number.

2004412560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004412560 is an abundant number, since it is smaller than the sum of its proper divisors (4209267120).

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

2004412560 is a wasteful number, since it uses less digits than its factorization.

2004412560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351735 (or 8351729 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2004412560 is about 44770.6662894355. Note that the first 3 decimals coincide. The cubic root of 2004412560 is about 1260.8469488356.

Adding to 2004412560 its reverse (652144002), we get a palindrome (2656556562).

The spelling of 2004412560 in words is "two billion, four million, four hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8351719 16703438 25055157 33406876 41758595 50110314 66813752 83517190 100220628 125275785 133627504 167034380 200441256 250551570 334068760 400882512 501103140 668137520 1002206280 2004412560