Search a number
-
+
2055802560 = 263572347283
BaseRepresentation
bin111101010001001…
…0000111011000000
312022021100120221120
41322202100323000
513202241140220
6535554552240
7101642014320
oct17242207300
95267316846
102055802560
119654a0989
12494598680
13269bb4926
14157063280
15c0736a40
hex7a890ec0

2055802560 has 448 divisors, whose sum is σ = 7977664512. Its totient is φ = 438349824.

The previous prime is 2055802517. The next prime is 2055802591. The reversal of 2055802560 is 652085502.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7264179 + ... + 7264461.

Almost surely, 22055802560 is an apocalyptic number.

2055802560 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 2055802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988832256).

2055802560 is an abundant number, since it is smaller than the sum of its proper divisors (5921861952).

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

2055802560 is a wasteful number, since it uses less digits than its factorization.

2055802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 2055802560 is about 45340.9589664797. The cubic root of 2055802560 is about 1271.5315311383.

The spelling of 2055802560 in words is "two billion, fifty-five million, eight hundred two thousand, five hundred sixty".