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996680607 = 313177320593
BaseRepresentation
bin111011011010000…
…010001110011111
32120110102121202120
4323122002032133
54020122234412
6242522154023
733461434236
oct7332021637
92513377676
10996680607
1147166698a
12239952913
1312b647350
1496525b1d
155c777b8c
hex3b68239f

996680607 has 32 divisors (see below), whose sum is σ = 1536147648. Its totient is φ = 569327616.

The previous prime is 996680591. The next prime is 996680609. The reversal of 996680607 is 706086699.

It is a happy number.

It is not a de Polignac number, because 996680607 - 24 = 996680591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 996680607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996680609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38103 + ... + 58695.

It is an arithmetic number, because the mean of its divisors is an integer number (48004614).

Almost surely, 2996680607 is an apocalyptic number.

996680607 is a deficient number, since it is larger than the sum of its proper divisors (539467041).

996680607 is a wasteful number, since it uses less digits than its factorization.

996680607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20699.

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 996680607 is about 31570.2487636699. The cubic root of 996680607 is about 998.8923091407.

The spelling of 996680607 in words is "nine hundred ninety-six million, six hundred eighty thousand, six hundred seven".

Divisors: 1 3 13 17 39 51 73 219 221 663 949 1241 2847 3723 16133 20593 48399 61779 267709 350081 803127 1050243 1503289 4509867 4551053 13653159 19542757 25555913 58628271 76667739 332226869 996680607