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969866640 = 2432510113337
BaseRepresentation
bin111001110011101…
…111110110010000
32111120222022220200
4321303233312100
53441241213030
6240123335200
733014505351
oct7163576620
92446868820
10969866640
11458512186
12230981500
13125c195b2
1492b45d28
155a22cd60
hex39cefd90

969866640 has 120 divisors (see below), whose sum is σ = 3289630968. Its totient is φ = 256051200.

The previous prime is 969866629. The next prime is 969866693. The reversal of 969866640 is 46668969.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 223921296 + 745945344 = 14964^2 + 27312^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66052 + ... + 79388.

Almost surely, 2969866640 is an apocalyptic number.

969866640 is a gapful number since it is divisible by the number (90) 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 969866640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644815484).

969866640 is an abundant number, since it is smaller than the sum of its proper divisors (2319764328).

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

969866640 is a wasteful number, since it uses less digits than its factorization.

969866640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13457 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 969866640 is about 31142.6819654313. The cubic root of 969866640 is about 989.8529319338.

The spelling of 969866640 in words is "nine hundred sixty-nine million, eight hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 101 120 144 180 202 240 303 360 404 505 606 720 808 909 1010 1212 1515 1616 1818 2020 2424 3030 3636 4040 4545 4848 6060 7272 8080 9090 12120 13337 14544 18180 24240 26674 36360 40011 53348 66685 72720 80022 106696 120033 133370 160044 200055 213392 240066 266740 320088 400110 480132 533480 600165 640176 800220 960264 1066960 1200330 1347037 1600440 1920528 2400660 2694074 3200880 4041111 4801320 5388148 6735185 8082222 9602640 10776296 12123333 13470370 16164444 20205555 21552592 24246666 26940740 32328888 40411110 48493332 53881480 60616665 64657776 80822220 96986664 107762960 121233330 161644440 193973328 242466660 323288880 484933320 969866640