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2960774064 = 243223986029
BaseRepresentation
bin1011000001111001…
…1101001110110000
321122100012220110200
42300132131032300
522030424232224
61205443355200
7133241110233
oct26036351660
97570186420
102960774064
11128a309416
126a7682b00
1338252c121
1420131541a
15124de65c9
hexb079d3b0

2960774064 has 60 divisors (see below), whose sum is σ = 8320821600. Its totient is φ = 982783872.

The previous prime is 2960774059. The next prime is 2960774081. The reversal of 2960774064 is 4604770692.

2960774064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8599 + ... + 77430.

It is an arithmetic number, because the mean of its divisors is an integer number (138680360).

Almost surely, 22960774064 is an apocalyptic number.

2960774064 is a gapful number since it is divisible by the number (24) 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 2960774064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160410800).

2960774064 is an abundant number, since it is smaller than the sum of its proper divisors (5360047536).

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

2960774064 is a wasteful number, since it uses less digits than its factorization.

2960774064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86282 (or 86273 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2960774064 is about 54412.9953595646. The cubic root of 2960774064 is about 1435.9360182333.

The spelling of 2960774064 in words is "two billion, nine hundred sixty million, seven hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2151 2868 3824 4302 5736 8604 11472 17208 34416 86029 172058 258087 344116 516174 688232 774261 1032348 1376464 1548522 2064696 3097044 4129392 6194088 12388176 20560931 41121862 61682793 82243724 123365586 164487448 185048379 246731172 328974896 370096758 493462344 740193516 986924688 1480387032 2960774064