Search a number
-
+
2000060040 = 2335111515197
BaseRepresentation
bin111011100110110…
…0111111010001000
312011101110120120210
41313031213322020
513044003410130
6530244121120
7100364141556
oct16715477210
95141416523
102000060040
11936a88790
124799961a0
1325b4987a4
1414d8b2bd6
15ba8c55b0
hex77367e88

2000060040 has 64 divisors (see below), whose sum is σ = 6545655360. Its totient is φ = 484862720.

The previous prime is 2000060039. The next prime is 2000060053. The reversal of 2000060040 is 400600002.

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 junction number, because it is equal to n+sod(n) for n = 2000059998 and 2000060025.

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, 756279 + ... + 758918.

It is an arithmetic number, because the mean of its divisors is an integer number (102275865).

Almost surely, 22000060040 is an apocalyptic number.

2000060040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000060040 is an abundant number, since it is smaller than the sum of its proper divisors (4545595320).

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

2000060040 is a wasteful number, since it uses less digits than its factorization.

2000060040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515222 (or 1515218 counting only the distinct ones).

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

The square root of 2000060040 is about 44722.0308125649. The cubic root of 2000060040 is about 1259.9336573787.

Adding to 2000060040 its reverse (400600002), we get a palindrome (2400660042).

The spelling of 2000060040 in words is "two billion, sixty thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1515197 3030394 4545591 6060788 7575985 9091182 12121576 15151970 16667167 18182364 22727955 30303940 33334334 36364728 45455910 50001501 60607880 66668668 83335835 90911820 100003002 133337336 166671670 181823640 200006004 250007505 333343340 400012008 500015010 666686680 1000030020 2000060040