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980083968 = 2835472333
BaseRepresentation
bin111010011010101…
…110010100000000
32112022012102110020
4322122232110000
54001400141333
6241130333440
733200401443
oct7232562400
92468172406
10980083968
11463260656
1223428a280
13128086056
149424565a
155b09a3b3
hex3a6ae500

980083968 has 72 divisors (see below), whose sum is σ = 2614341408. Its totient is φ = 325957632.

The previous prime is 980083939. The next prime is 980083991. The reversal of 980083968 is 869380089.

It is a self number, because there is not a number n which added to its sum of digits gives 980083968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418930 + ... + 421262.

Almost surely, 2980083968 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 980083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307170704).

980083968 is an abundant number, since it is smaller than the sum of its proper divisors (1634257440).

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

980083968 is a wasteful number, since it uses less digits than its factorization.

980083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 980083968 is about 31306.2927859560. The cubic root of 980083968 is about 993.3167564260.

The spelling of 980083968 in words is "nine hundred eighty million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 547 768 1094 1641 2188 2333 3282 4376 4666 6564 6999 8752 9332 13128 13998 17504 18664 26256 27996 35008 37328 52512 55992 70016 74656 105024 111984 140032 149312 210048 223968 298624 420096 447936 597248 895872 1276151 1791744 2552302 3828453 5104604 7656906 10209208 15313812 20418416 30627624 40836832 61255248 81673664 122510496 163347328 245020992 326694656 490041984 980083968