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966550960 = 245109199557
BaseRepresentation
bin111001100111000…
…110010110110000
32111100201212122201
4321213012112300
53434414112320
6235524312544
732644355554
oct7147062660
92440655581
10966550960
11456658051
1222b842754
1312532835b
1492521864
1559cc570a
hex399c65b0

966550960 has 80 divisors (see below), whose sum is σ = 2283336000. Its totient is φ = 380464128.

The previous prime is 966550951. The next prime is 966550969. The reversal of 966550960 is 69055669.

It is a happy number.

966550960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (966550951) and next prime (966550969).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 966550960.

It is not an unprimeable number, because it can be changed into a prime (966550969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735002 + ... + 1735558.

It is an arithmetic number, because the mean of its divisors is an integer number (28541700).

Almost surely, 2966550960 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 966550960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141668000).

966550960 is an abundant number, since it is smaller than the sum of its proper divisors (1316785040).

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

966550960 is a wasteful number, since it uses less digits than its factorization.

966550960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 46.

The square root of 966550960 is about 31089.4026960957. The cubic root of 966550960 is about 988.7236416966.

The spelling of 966550960 in words is "nine hundred sixty-six million, five hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 199 218 398 436 545 557 796 872 995 1090 1114 1592 1744 1990 2180 2228 2785 3184 3980 4360 4456 5570 7960 8720 8912 11140 15920 21691 22280 43382 44560 60713 86764 108455 110843 121426 173528 216910 221686 242852 303565 347056 433820 443372 485704 554215 607130 867640 886744 971408 1108430 1214260 1735280 1773488 2216860 2428520 4433720 4857040 8867440 12081887 24163774 48327548 60409435 96655096 120818870 193310192 241637740 483275480 966550960