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4060002000 = 24353897603
BaseRepresentation
bin1111000111111110…
…1011011011010000
3101110221121110201110
43301333223123100
531303330031000
61510511533320
7202416306345
oct36177533320
911427543643
104060002000
1117a384665a
1295382a240
134c919c562
142a72d27cc
1518b678850
hexf1feb6d0

4060002000 has 160 divisors (see below), whose sum is σ = 13238259840. Its totient is φ = 1070361600.

The previous prime is 4060001989. The next prime is 4060002007. The reversal of 4060002000 is 2000604.

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 not an unprimeable number, because it can be changed into a prime (4060002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530199 + ... + 537801.

It is an arithmetic number, because the mean of its divisors is an integer number (82739124).

Almost surely, 24060002000 is an apocalyptic number.

4060002000 is a gapful number since it is divisible by the number (40) 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 4060002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619129920).

4060002000 is an abundant number, since it is smaller than the sum of its proper divisors (9178257840).

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

4060002000 is a wasteful number, since it uses less digits than its factorization.

4060002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7702 counting only the distinct ones).

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

The square root of 4060002000 is about 63718.1449824145. The cubic root of 4060002000 is about 1595.2989615929.

Adding to 4060002000 its reverse (2000604), we get a palindrome (4062002604).

The spelling of 4060002000 in words is "four billion, sixty 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 89 100 120 125 150 178 200 240 250 267 300 356 375 400 445 500 534 600 712 750 890 1000 1068 1200 1335 1424 1500 1780 2000 2136 2225 2670 3000 3560 4272 4450 5340 6000 6675 7120 7603 8900 10680 11125 13350 15206 17800 21360 22250 22809 26700 30412 33375 35600 38015 44500 45618 53400 60824 66750 76030 89000 91236 106800 114045 121648 133500 152060 178000 182472 190075 228090 267000 304120 364944 380150 456180 534000 570225 608240 676667 760300 912360 950375 1140450 1353334 1520600 1824720 1900750 2030001 2280900 2706668 2851125 3041200 3383335 3801500 4060002 4561800 5413336 5702250 6766670 7603000 8120004 9123600 10150005 10826672 11404500 13533340 15206000 16240008 16916675 20300010 22809000 27066680 32480016 33833350 40600020 45618000 50750025 54133360 67666700 81200040 84583375 101500050 135333400 162400080 169166750 203000100 253750125 270666800 338333500 406000200 507500250 676667000 812000400 1015000500 1353334000 2030001000 4060002000