Search a number
-
+
6004002000 = 243531000667
BaseRepresentation
bin1011001011101110…
…11100110011010000
3120111102120220101110
411211313130303100
544244011031000
62431434333320
7301533114003
oct54567346320
916442526343
106004002000
112601114627
1211b688a240
13748b6a509
1440d57153a
15252178850
hex165ddccd0

6004002000 has 80 divisors (see below), whose sum is σ = 19356921792. Its totient is φ = 1601065600.

The previous prime is 6004001977. The next prime is 6004002061. The reversal of 6004002000 is 2004006.

It is a tau number, because it is divible by the number of its divisors (80).

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 a congruent number.

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, 494334 + ... + 506333.

Almost surely, 26004002000 is an apocalyptic number.

6004002000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6004002000 is an abundant number, since it is smaller than the sum of its proper divisors (13352919792).

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

6004002000 is a wasteful number, since it uses less digits than its factorization.

6004002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000693 (or 1000677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6004002000 is about 77485.4954168843. The cubic root of 6004002000 is about 1817.5245095198.

Adding to 6004002000 its reverse (2004006), we get a palindrome (6006006006).

The spelling of 6004002000 in words is "six billion, four million, two thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 1000667 2001334 3002001 4002668 5003335 6004002 8005336 10006670 12008004 15010005 16010672 20013340 24016008 25016675 30020010 40026680 48032016 50033350 60040020 75050025 80053360 100066700 120080040 125083375 150100050 200133400 240160080 250166750 300200100 375250125 400266800 500333500 600400200 750500250 1000667000 1200800400 1501000500 2001334000 3002001000 6004002000