Search a number
-
+
999040 = 2757223
BaseRepresentation
bin11110011111010000000
31212202102111
43303322000
5223432130
633225104
711330440
oct3637200
91782374
10999040
11622659
12402194
1328c963
141c0120
1514b02a
hexf3e80

999040 has 64 divisors (see below), whose sum is σ = 2741760. Its totient is φ = 340992.

The previous prime is 999029. The next prime is 999043. The reversal of 999040 is 40999.

999040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 998993 and 999011.

It is not an unprimeable number, because it can be changed into a prime (999043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4369 + ... + 4591.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2999040 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 999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880).

999040 is an abundant number, since it is smaller than the sum of its proper divisors (1742720).

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

999040 is a wasteful number, since it uses less digits than its factorization.

999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 999040 is about 999.5198847447. The cubic root of 999040 is about 99.9679897545.

The spelling of 999040 in words is "nine hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 223 224 280 320 446 448 560 640 892 896 1115 1120 1561 1784 2230 2240 3122 3568 4460 4480 6244 7136 7805 8920 12488 14272 15610 17840 24976 28544 31220 35680 49952 62440 71360 99904 124880 142720 199808 249760 499520 999040