Search a number
-
+
2078915904 = 2632132312071
BaseRepresentation
bin111101111101001…
…1011110101000000
312100212211212111100
41323322123311000
513224200302104
6542142214400
7102342331212
oct17372336500
95325755440
102078915904
1197754831a
124a0284400
13271918170
1415a15c5b2
15c27a0139
hex7be9bd40

2078915904 has 168 divisors, whose sum is σ = 6696772992. Its totient is φ = 611804160.

The previous prime is 2078915903. The next prime is 2078915933. The reversal of 2078915904 is 4095198702.

It is a self number, because there is not a number n which added to its sum of digits gives 2078915904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078915903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166189 + ... + 178259.

It is an arithmetic number, because the mean of its divisors is an integer number (39861744).

Almost surely, 22078915904 is an apocalyptic number.

2078915904 is a gapful number since it is divisible by the number (24) 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 2078915904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348386496).

2078915904 is an abundant number, since it is smaller than the sum of its proper divisors (4617857088).

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

2078915904 is a wasteful number, since it uses less digits than its factorization.

2078915904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12125 (or 12112 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2078915904 is about 45595.1302662905. The cubic root of 2078915904 is about 1276.2790504825.

The spelling of 2078915904 in words is "two billion, seventy-eight million, nine hundred fifteen thousand, nine hundred four".