Search a number
-
+
2004406040 = 235713550661
BaseRepresentation
bin111011101111000…
…1100111100011000
312011200122101011202
41313132030330120
513101111443130
6530521213332
7100446112250
oct16736147430
95150571152
102004406040
11939486a1a
1247b331248
1325c35a9a0
141502c4960
15bae83145
hex7778cf18

2004406040 has 64 divisors (see below), whose sum is σ = 5550672960. Its totient is φ = 634360320.

The previous prime is 2004406031. The next prime is 2004406043. The reversal of 2004406040 is 406044002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004406043) 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, 271691 + ... + 278970.

It is an arithmetic number, because the mean of its divisors is an integer number (86729265).

Almost surely, 22004406040 is an apocalyptic number.

2004406040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004406040 is an abundant number, since it is smaller than the sum of its proper divisors (3546266920).

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

2004406040 is a wasteful number, since it uses less digits than its factorization.

2004406040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550692 (or 550688 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2004406040 is about 44770.5934738417. The cubic root of 2004406040 is about 1260.8455817300.

The spelling of 2004406040 in words is "two billion, four million, four hundred six thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 550661 1101322 2202644 2753305 3854627 4405288 5506610 7158593 7709254 11013220 14317186 15418508 19273135 22026440 28634372 30837016 35792965 38546270 50110151 57268744 71585930 77092540 100220302 143171860 154185080 200440604 250550755 286343720 400881208 501101510 1002203020 2004406040