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2920026336 = 253163191977
BaseRepresentation
bin1010111000001100…
…0001000011100000
321112111112201002120
42232003001003200
521440011320321
61201430144240
7132234546213
oct25603010340
97474481076
102920026336
111269308007
12695ab2080
13376c63146
141d9b4977a
15121547ec6
hexae0c10e0

2920026336 has 96 divisors (see below), whose sum is σ = 7760406528. Its totient is φ = 961320960.

The previous prime is 2920026323. The next prime is 2920026337. The reversal of 2920026336 is 6336200292.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2920026297 and 2920026306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920026337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2988280 + ... + 2989256.

It is an arithmetic number, because the mean of its divisors is an integer number (80837568).

Almost surely, 22920026336 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 2920026336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880203264).

2920026336 is an abundant number, since it is smaller than the sum of its proper divisors (4840380192).

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

2920026336 is a wasteful number, since it uses less digits than its factorization.

2920026336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 2920026336 is about 54037.2680286485. The cubic root of 2920026336 is about 1429.3181968290.

The spelling of 2920026336 in words is "two billion, nine hundred twenty million, twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 191 326 382 489 573 652 764 977 978 1146 1304 1528 1954 1956 2292 2608 2931 3056 3908 3912 4584 5216 5862 6112 7816 7824 9168 11724 15632 15648 18336 23448 31133 31264 46896 62266 93399 93792 124532 159251 186607 186798 249064 318502 373214 373596 477753 498128 559821 637004 746428 747192 955506 996256 1119642 1274008 1492856 1494384 1911012 2239284 2548016 2985712 2988768 3822024 4478568 5096032 5971424 7644048 8957136 15288096 17914272 30416941 60833882 91250823 121667764 182501646 243335528 365003292 486671056 730006584 973342112 1460013168 2920026336