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995991680 = 2754137957
BaseRepresentation
bin111011010111011…
…010000010000000
32120102010121201202
4323113122002000
54014433213210
6242455320332
733452534555
oct7327320200
92512117652
10995991680
11471236322
122396800a8
1312b4658b8
14963c6a2c
155c68d9a5
hex3b5da080

995991680 has 64 divisors (see below), whose sum is σ = 2439181080. Its totient is φ = 388669440.

The previous prime is 995991673. The next prime is 995991683. The reversal of 995991680 is 86199599.

It can be written as a sum of positive squares in 4 ways, for example, as 224041024 + 771950656 = 14968^2 + 27784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (995991683) 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, 7262 + ... + 45218.

Almost surely, 2995991680 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 995991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219590540).

995991680 is an abundant number, since it is smaller than the sum of its proper divisors (1443189400).

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

995991680 is a wasteful number, since it uses less digits than its factorization.

995991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38017 (or 38005 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 56.

The square root of 995991680 is about 31559.3358611996. The cubic root of 995991680 is about 998.6621041663.

The spelling of 995991680 in words is "nine hundred ninety-five million, nine hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 5248 6560 13120 26240 37957 75914 151828 189785 303656 379570 607312 759140 1214624 1518280 1556237 2429248 3036560 3112474 4858496 6073120 6224948 7781185 12146240 12449896 15562370 24292480 24899792 31124740 49799584 62249480 99599168 124498960 199198336 248997920 497995840 995991680