Search a number
-
+
2040060000 = 25354112281
BaseRepresentation
bin111100110011000…
…1101100001100000
312021011201210012210
41321212031201200
513134223410000
6534233322120
7101361136536
oct17146154140
95234653183
102040060000
11957619300
1248b266340
132668622c4
14154d26156
15be177350
hex7998d860

2040060000 has 360 divisors, whose sum is σ = 7381630872. Its totient is φ = 492800000.

The previous prime is 2040059999. The next prime is 2040060017. The reversal of 2040060000 is 600402.

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 59 ways as a sum of consecutive naturals, for example, 7259860 + ... + 7260140.

Almost surely, 22040060000 is an apocalyptic number.

2040060000 is a gapful number since it is divisible by the number (20) 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 2040060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690815436).

2040060000 is an abundant number, since it is smaller than the sum of its proper divisors (5341570872).

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

2040060000 is a wasteful number, since it uses less digits than its factorization.

2040060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 302 counting only the distinct ones).

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

The square root of 2040060000 is about 45167.0233688252. The cubic root of 2040060000 is about 1268.2775749271.

Adding to 2040060000 its reverse (600402), we get a palindrome (2040660402).

The spelling of 2040060000 in words is "two billion, forty million, sixty thousand", and thus it is an eban number.