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996400 = 24524753
BaseRepresentation
bin11110011010000110000
31212121210201
43303100300
5223341100
633204544
711316646
oct3632060
91777721
10996400
11620679
12400754
1328b6b2
141bd196
1514a36a
hexf3430

996400 has 60 divisors (see below), whose sum is σ = 2490912. Its totient is φ = 382720.

The previous prime is 996367. The next prime is 996403. The reversal of 996400 is 4699.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (996403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18774 + ... + 18826.

2996400 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 996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245456).

996400 is an abundant number, since it is smaller than the sum of its proper divisors (1494512).

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

996400 is a wasteful number, since it uses less digits than its factorization.

996400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 996400 is about 998.1983770774. The cubic root of 996400 is about 99.8798557113.

The spelling of 996400 in words is "nine hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 53 80 94 100 106 188 200 212 235 265 376 400 424 470 530 752 848 940 1060 1175 1325 1880 2120 2350 2491 2650 3760 4240 4700 4982 5300 9400 9964 10600 12455 18800 19928 21200 24910 39856 49820 62275 99640 124550 199280 249100 498200 996400