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990976 = 287279
BaseRepresentation
bin11110001111100000000
31212100100211
43301330000
5223202401
633123504
711265100
oct3617400
91770324
10990976
11617598
123b9594
1328909c
141bb200
15148951
hexf1f00

990976 has 54 divisors (see below), whose sum is σ = 2330160. Its totient is φ = 419328.

The previous prime is 990973. The next prime is 990989. The reversal of 990976 is 679099.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12505 + ... + 12583.

2990976 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 990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165080).

990976 is an abundant number, since it is smaller than the sum of its proper divisors (1339184).

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

990976 is an equidigital number, since it uses as much as digits as its factorization.

990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 990976 is about 995.4777747393. The cubic root of 990976 is about 99.6982906300.

The spelling of 990976 in words is "nine hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 128 158 196 224 256 316 392 448 553 632 784 896 1106 1264 1568 1792 2212 2528 3136 3871 4424 5056 6272 7742 8848 10112 12544 15484 17696 20224 30968 35392 61936 70784 123872 141568 247744 495488 990976