Search a number
-
+
2320766976 = 211311231493
BaseRepresentation
bin1000101001010100…
…0001100000000000
312222201221011210110
42022111001200000
514223104020401
61022142031320
7111340123323
oct21225014000
95881834713
102320766976
11a91015640
12549278540
132aca666c8
141803167ba
15d8b249d6
hex8a541800

2320766976 has 192 divisors, whose sum is σ = 7047855360. Its totient is φ = 672235520.

The previous prime is 2320766939. The next prime is 2320767011. The reversal of 2320766976 is 6796670232.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 1553686 + ... + 1555178.

It is an arithmetic number, because the mean of its divisors is an integer number (36707580).

Almost surely, 22320766976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523927680).

2320766976 is an abundant number, since it is smaller than the sum of its proper divisors (4727088384).

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

2320766976 is a wasteful number, since it uses less digits than its factorization.

2320766976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The square root of 2320766976 is about 48174.3393934987. The cubic root of 2320766976 is about 1323.9670555842.

The spelling of 2320766976 in words is "two billion, three hundred twenty million, seven hundred sixty-six thousand, nine hundred seventy-six".