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996660 = 2232572113
BaseRepresentation
bin11110011010100110100
31212122011100
43303110310
5223343120
633210100
711320500
oct3632464
91778140
10996660
11620895
12400930
1328b852
141bd300
1514a490
hexf3534

996660 has 108 divisors (see below), whose sum is σ = 3547908. Its totient is φ = 225792.

The previous prime is 996649. The next prime is 996689. The reversal of 996660 is 66699.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 853776 = 378^2 + 924^2 .

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 996660.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8764 + ... + 8876.

It is an arithmetic number, because the mean of its divisors is an integer number (32851).

2996660 is an apocalyptic number.

996660 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 996660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773954).

996660 is an abundant number, since it is smaller than the sum of its proper divisors (2551248).

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

996660 is a wasteful number, since it uses less digits than its factorization.

996660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 996660 is about 998.3286032164. The cubic root of 996660 is about 99.8885424850. Note that the first 3 decimals are identical.

It can be divided in two parts, 9 and 96660, that added together give a palindrome (96669).

The spelling of 996660 in words is "nine hundred ninety-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 113 126 140 147 180 196 210 226 245 252 294 315 339 420 441 452 490 565 588 630 678 735 791 882 980 1017 1130 1260 1356 1470 1582 1695 1764 2034 2205 2260 2373 2940 3164 3390 3955 4068 4410 4746 5085 5537 6780 7119 7910 8820 9492 10170 11074 11865 14238 15820 16611 20340 22148 23730 27685 28476 33222 35595 47460 49833 55370 66444 71190 83055 99666 110740 142380 166110 199332 249165 332220 498330 996660