Search a number
-
+
2097080160 = 2535719107307
BaseRepresentation
bin111110011111110…
…1110011101100000
312102011000201011120
41330333232131200
513243323031120
6544031412240
7102652613220
oct17477563540
95364021146
102097080160
119868243aa
124a6384080
13275607b46
1415c72a080
15c418c140
hex7cfee760

2097080160 has 384 divisors, whose sum is σ = 8047226880. Its totient is φ = 448395264.

The previous prime is 2097080159. The next prime is 2097080171. The reversal of 2097080160 is 610807902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6830727 + ... + 6831033.

It is an arithmetic number, because the mean of its divisors is an integer number (20956320).

Almost surely, 22097080160 is an apocalyptic number.

2097080160 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 2097080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023613440).

2097080160 is an abundant number, since it is smaller than the sum of its proper divisors (5950146720).

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

2097080160 is a wasteful number, since it uses less digits than its factorization.

2097080160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2097080160 is about 45793.8878017580. The cubic root of 2097080160 is about 1279.9853839477.

The spelling of 2097080160 in words is "two billion, ninety-seven million, eighty thousand, one hundred sixty".