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999352960 = 2754213709
BaseRepresentation
bin111011100100001…
…110101010000000
32120122110101112121
4323210032222000
54021313243320
6243055334024
733523234324
oct7344165200
92518411477
10999352960
11473121741
1223a821314
1312c071818
1496a1d984
155cb048aa
hex3b90ea80

999352960 has 64 divisors (see below), whose sum is σ = 2395398600. Its totient is φ = 398684160.

The previous prime is 999352957. The next prime is 999352969. The reversal of 999352960 is 69253999.

It can be written as a sum of positive squares in 4 ways, for example, as 343583296 + 655769664 = 18536^2 + 25608^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 999352898 and 999352907.

It is not an unprimeable number, because it can be changed into a prime (999352969) by changing a digit.

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, 267586 + ... + 271294.

Almost surely, 2999352960 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 999352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197699300).

999352960 is an abundant number, since it is smaller than the sum of its proper divisors (1396045640).

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

999352960 is a wasteful number, since it uses less digits than its factorization.

999352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 52.

The square root of 999352960 is about 31612.5443455600. The cubic root of 999352960 is about 999.7842734654.

The spelling of 999352960 in words is "nine hundred ninety-nine million, three hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 421 640 842 1684 2105 3368 3709 4210 6736 7418 8420 13472 14836 16840 18545 26944 29672 33680 37090 53888 59344 67360 74180 118688 134720 148360 237376 269440 296720 474752 593440 1186880 1561489 2373760 3122978 6245956 7807445 12491912 15614890 24983824 31229780 49967648 62459560 99935296 124919120 199870592 249838240 499676480 999352960