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693880080 = 243519115137
BaseRepresentation
bin101001010110111…
…100010100010000
31210100122202112020
4221112330110100
52410113130310
6152504131440
723123611665
oct5126742420
91710582466
10693880080
1132674a413
12174466b80
13b09a893a
1468223a6c
1540db4170
hex295bc510

693880080 has 80 divisors (see below), whose sum is σ = 2162433024. Its totient is φ = 184053760.

The previous prime is 693880069. The next prime is 693880139. The reversal of 693880080 is 80088396.

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

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 15 ways as a sum of consecutive naturals, for example, 38272 + ... + 53408.

Almost surely, 2693880080 is an apocalyptic number.

693880080 is a gapful number since it is divisible by the number (60) 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 693880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081216512).

693880080 is an abundant number, since it is smaller than the sum of its proper divisors (1468552944).

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

693880080 is a wasteful number, since it uses less digits than its factorization.

693880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15344 (or 15338 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 693880080 is about 26341.6035958330. The cubic root of 693880080 is about 885.3088519524.

The spelling of 693880080 in words is "six hundred ninety-three million, eight hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 7640 9168 11460 15137 15280 22920 30274 45411 45840 60548 75685 90822 121096 151370 181644 227055 242192 302740 363288 454110 605480 726576 908220 1210960 1816440 2891167 3632880 5782334 8673501 11564668 14455835 17347002 23129336 28911670 34694004 43367505 46258672 57823340 69388008 86735010 115646680 138776016 173470020 231293360 346940040 693880080