Search a number
-
+
2655528960 = 21135753233
BaseRepresentation
bin1001111001001000…
…0010100000000000
320212001211211220110
42132102002200000
520414303411320
61115301111320
7122543423640
oct23622024000
96761754813
102655528960
111142a82237
126213b8540
13334215b16
141b2978520
151081ed5e0
hex9e482800

2655528960 has 384 divisors, whose sum is σ = 9934928640. Its totient is φ = 592969728.

The previous prime is 2655528859. The next prime is 2655528973. The reversal of 2655528960 is 698255562.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 11397004 + ... + 11397236.

It is an arithmetic number, because the mean of its divisors is an integer number (25872210).

Almost surely, 22655528960 is an apocalyptic number.

2655528960 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 2655528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967464320).

2655528960 is an abundant number, since it is smaller than the sum of its proper divisors (7279399680).

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

2655528960 is a wasteful number, since it uses less digits than its factorization.

2655528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The square root of 2655528960 is about 51531.8247299666. The cubic root of 2655528960 is about 1384.7892409992.

The spelling of 2655528960 in words is "two billion, six hundred fifty-five million, five hundred twenty-eight thousand, nine hundred sixty".