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4002060000 = 2535466701
BaseRepresentation
bin1110111010001010…
…1001011011100000
3101022220120201020110
43232202221123200
531144011410000
61501042011320
7201113643261
oct35642513340
911286521213
104002060000
111774070a04
12938346b40
134ba193253
1429d72c968
15186530850
hexee8a96e0

4002060000 has 120 divisors (see below), whose sum is σ = 13127754024. Its totient is φ = 1067200000.

The previous prime is 4002059993. The next prime is 4002060017. The reversal of 4002060000 is 602004.

4002060000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 26650 + ... + 93350.

Almost surely, 24002060000 is an apocalyptic number.

4002060000 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 4002060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563877012).

4002060000 is an abundant number, since it is smaller than the sum of its proper divisors (9125694024).

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

4002060000 is an equidigital number, since it uses as much as digits as its factorization.

4002060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66734 (or 66711 counting only the distinct ones).

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

The square root of 4002060000 is about 63261.8368370695. The cubic root of 4002060000 is about 1587.6735090490.

Adding to 4002060000 its reverse (602004), we get a palindrome (4002662004).

The spelling of 4002060000 in words is "four billion, two million, sixty thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 66701 133402 200103 266804 333505 400206 533608 667010 800412 1000515 1067216 1334020 1600824 1667525 2001030 2134432 2668040 3201648 3335050 4002060 5002575 5336080 6403296 6670100 8004120 8337625 10005150 10672160 13340200 16008240 16675250 20010300 25012875 26680400 32016480 33350500 40020600 41688125 50025750 53360800 66701000 80041200 83376250 100051500 125064375 133402000 160082400 166752500 200103000 250128750 266804000 333505000 400206000 500257500 667010000 800412000 1000515000 1334020000 2001030000 4002060000