Search a number
-
+
2608996320 = 253257475507
BaseRepresentation
bin1001101110000010…
…0001111111100000
320201211021202010100
42123200201333200
520320400340240
61110515502400
7121440050160
oct23340417740
96654252110
102608996320
11111978a607
126098b7a00
133276a2a08
141aa7045a0
151040aae30
hex9b821fe0

2608996320 has 288 divisors, whose sum is σ = 10393463808. Its totient is φ = 583547904.

The previous prime is 2608996303. The next prime is 2608996321. The reversal of 2608996320 is 236998062.

2608996320 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 9 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2608996321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471007 + ... + 476513.

It is an arithmetic number, because the mean of its divisors is an integer number (36088416).

Almost surely, 22608996320 is an apocalyptic number.

2608996320 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 2608996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196731904).

2608996320 is an abundant number, since it is smaller than the sum of its proper divisors (7784467488).

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

2608996320 is a wasteful number, since it uses less digits than its factorization.

2608996320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2608996320 is about 51078.3351334007. The cubic root of 2608996320 is about 1376.6530105393.

The spelling of 2608996320 in words is "two billion, six hundred eight million, nine hundred ninety-six thousand, three hundred twenty".