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69832080 = 2432596989
BaseRepresentation
bin1000010100110…
…00110110010000
311212101211121100
410022120312100
5120334111310
610532424400
71505364033
oct412306620
9155354540
1069832080
113646696a
121b478100
1311610276
1493bb01a
1561e5ec0
hex4298d90

69832080 has 60 divisors (see below), whose sum is σ = 234521820. Its totient is φ = 18621696.

The previous prime is 69832069. The next prime is 69832097. The reversal of 69832080 is 8023896.

It can be written as a sum of positive squares in 2 ways, for example, as 27373824 + 42458256 = 5232^2 + 6516^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47775 + ... + 49214.

It is an arithmetic number, because the mean of its divisors is an integer number (3908697).

Almost surely, 269832080 is an apocalyptic number.

69832080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

69832080 is an abundant number, since it is smaller than the sum of its proper divisors (164689740).

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

69832080 is a wasteful number, since it uses less digits than its factorization.

69832080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97008 (or 96999 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 69832080 is about 8356.5591004911. The cubic root of 69832080 is about 411.7987202954.

The spelling of 69832080 in words is "sixty-nine million, eight hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 96989 193978 290967 387956 484945 581934 775912 872901 969890 1163868 1454835 1551824 1745802 1939780 2327736 2909670 3491604 3879560 4364505 4655472 5819340 6983208 7759120 8729010 11638680 13966416 17458020 23277360 34916040 69832080