Search a number
-
+
2097127680 = 28353179223
BaseRepresentation
bin111110011111111…
…1010000100000000
312102011010010100120
41330333322010000
513243331041210
6544032420240
7102653201604
oct17477720400
95364103316
102097127680
1198685707a
124a63a7680
1327562366b
1415c73d504
15c419b270
hex7cffa100

2097127680 has 288 divisors, whose sum is σ = 7032668160. Its totient is φ = 531947520.

The previous prime is 2097127651. The next prime is 2097127693. The reversal of 2097127680 is 867217902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9404049 + ... + 9404271.

Almost surely, 22097127680 is an apocalyptic number.

2097127680 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 2097127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516334080).

2097127680 is an abundant number, since it is smaller than the sum of its proper divisors (4935540480).

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

2097127680 is a wasteful number, since it uses less digits than its factorization.

2097127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 2097127680 is about 45794.4066453535. The cubic root of 2097127680 is about 1279.9950520642.

The spelling of 2097127680 in words is "two billion, ninety-seven million, one hundred twenty-seven thousand, six hundred eighty".