Search a number
-
+
2004031320 = 233516700261
BaseRepresentation
bin111011101110011…
…0001011101011000
312011122221100011020
41313130301131120
513101013000240
6530505202440
7100442661624
oct16734613530
95148840136
102004031320
11939250435
1247b190420
1325c259265
14150228184
15bae0c0d0
hex77731758

2004031320 has 32 divisors (see below), whose sum is σ = 6012094320. Its totient is φ = 534408320.

The previous prime is 2004031307. The next prime is 2004031321. The reversal of 2004031320 is 231304002.

It is a super-2 number, since 2×20040313202 = 8032283063081884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2004031320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004031321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8350011 + ... + 8350250.

Almost surely, 22004031320 is an apocalyptic number.

2004031320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004031320 is an abundant number, since it is smaller than the sum of its proper divisors (4008063000).

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

2004031320 is a wasteful number, since it uses less digits than its factorization.

2004031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16700275 (or 16700271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2004031320 is about 44766.4083884334. The cubic root of 2004031320 is about 1260.7670059171.

Adding to 2004031320 its reverse (231304002), we get a palindrome (2235335322).

It can be divided in two parts, 20040 and 31320, that added together give a triangular number (51360 = T320).

The spelling of 2004031320 in words is "two billion, four million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 16700261 33400522 50100783 66801044 83501305 100201566 133602088 167002610 200403132 250503915 334005220 400806264 501007830 668010440 1002015660 2004031320