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996040 = 23537673
BaseRepresentation
bin11110011001011001000
31212121022101
43303023020
5223333130
633203144
711315623
oct3631310
91777271
10996040
11620381
124004b4
1328b496
141bcdba
1514a1ca
hexf32c8

996040 has 32 divisors (see below), whose sum is σ = 2305080. Its totient is φ = 387072.

The previous prime is 996019. The next prime is 996049. The reversal of 996040 is 40699.

996040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 894916 + 101124 = 946^2 + 318^2 .

It is not an unprimeable number, because it can be changed into a prime (996049) 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, 1144 + ... + 1816.

2996040 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 996040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152540).

996040 is an abundant number, since it is smaller than the sum of its proper divisors (1309040).

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

996040 is a wasteful number, since it uses less digits than its factorization.

996040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 717 counting only the distinct ones).

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

The square root of 996040 is about 998.0180359092. The cubic root of 996040 is about 99.8678253757.

It can be divided in two parts, 9960 and 40, that added together give a 4-th power (10000 = 104).

The spelling of 996040 in words is "nine hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 673 740 1346 1480 2692 3365 5384 6730 13460 24901 26920 49802 99604 124505 199208 249010 498020 996040