Search a number
-
+
2002404000 = 25353166867
BaseRepresentation
bin111011101011010…
…0100001010100000
312011112212122220010
41313112210022200
513100103412000
6530410244520
7100423103352
oct16726441240
95145778803
102002404000
11938339843
1247a726740
1325bb0964c
1414dd230d2
15babd9d50
hex775a42a0

2002404000 has 96 divisors (see below), whose sum is σ = 6559914816. Its totient is φ = 533971200.

The previous prime is 2002403947. The next prime is 2002404013. The reversal of 2002404000 is 4042002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71434 + ... + 95433.

It is an arithmetic number, because the mean of its divisors is an integer number (68332446).

Almost surely, 22002404000 is an apocalyptic number.

2002404000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002404000 is an abundant number, since it is smaller than the sum of its proper divisors (4557510816).

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

2002404000 is a wasteful number, since it uses less digits than its factorization.

2002404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166895 (or 166877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2002404000 is about 44748.2290152359. The cubic root of 2002404000 is about 1260.4256561373.

Adding to 2002404000 its reverse (4042002), we get a palindrome (2006446002).

The spelling of 2002404000 in words is "two billion, two million, four hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 166867 333734 500601 667468 834335 1001202 1334936 1668670 2002404 2503005 2669872 3337340 4004808 4171675 5006010 5339744 6674680 8009616 8343350 10012020 12515025 13349360 16019232 16686700 20024040 20858375 25030050 26698720 33373400 40048080 41716750 50060100 62575125 66746800 80096160 83433500 100120200 125150250 133493600 166867000 200240400 250300500 333734000 400480800 500601000 667468000 1001202000 2002404000