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6040002000 = 243531019967
BaseRepresentation
bin1011010000000001…
…10001110111010000
3120120221022220002210
411220000301313100
544332220031000
62435202112120
7302451112164
oct55000616720
916527286083
106040002000
11261a47299a
12120694b640
137534634a6
14414262ca4
152553da350
hex168031dd0

6040002000 has 160 divisors (see below), whose sum is σ = 19667741184. Its totient is φ = 1594560000.

The previous prime is 6040001993. The next prime is 6040002013. The reversal of 6040002000 is 2000406.

6040002000 = T9768 + T9769 + ... + T9892.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601017 + ... + 610983.

Almost surely, 26040002000 is an apocalyptic number.

6040002000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6040002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833870592).

6040002000 is an abundant number, since it is smaller than the sum of its proper divisors (13627739184).

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

6040002000 is a wasteful number, since it uses less digits than its factorization.

6040002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094 (or 10078 counting only the distinct ones).

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

The square root of 6040002000 is about 77717.4497780260. The cubic root of 6040002000 is about 1821.1498992568.

Adding to 6040002000 its reverse (2000406), we get a palindrome (6042002406).

The spelling of 6040002000 in words is "six billion, forty 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 80 100 101 120 125 150 200 202 240 250 300 303 375 400 404 500 505 600 606 750 808 1000 1010 1200 1212 1500 1515 1616 2000 2020 2424 2525 3000 3030 4040 4848 5050 6000 6060 7575 8080 9967 10100 12120 12625 15150 19934 20200 24240 25250 29901 30300 37875 39868 40400 49835 50500 59802 60600 75750 79736 99670 101000 119604 121200 149505 151500 159472 199340 202000 239208 249175 299010 303000 398680 478416 498350 598020 606000 747525 797360 996700 1006667 1196040 1245875 1495050 1993400 2013334 2392080 2491750 2990100 3020001 3737625 3986800 4026668 4983500 5033335 5980200 6040002 7475250 8053336 9967000 10066670 11960400 12080004 14950500 15100005 16106672 19934000 20133340 24160008 25166675 29901000 30200010 40266680 48320016 50333350 59802000 60400020 75500025 80533360 100666700 120800040 125833375 151000050 201333400 241600080 251666750 302000100 377500125 402666800 503333500 604000200 755000250 1006667000 1208000400 1510000500 2013334000 3020001000 6040002000