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990464 = 285373
BaseRepresentation
bin11110001110100000000
31212022122212
43301310000
5223143324
633121252
711263436
oct3616400
91768585
10990464
11617172
123b9228
13288a97
141bad56
1514870e
hexf1d00

990464 has 36 divisors (see below), whose sum is σ = 2041956. Its totient is φ = 479232.

The previous prime is 990463. The next prime is 990469. The reversal of 990464 is 464099.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 640000 + 350464 = 800^2 + 592^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 990464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13532 + ... + 13604.

It is an arithmetic number, because the mean of its divisors is an integer number (56721).

2990464 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 990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020978).

990464 is an abundant number, since it is smaller than the sum of its proper divisors (1051492).

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

990464 is an equidigital number, since it uses as much as digits as its factorization.

990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 990464 is about 995.2205785654. The cubic root of 990464 is about 99.6811175541.

The spelling of 990464 in words is "nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 73 106 128 146 212 256 292 424 584 848 1168 1696 2336 3392 3869 4672 6784 7738 9344 13568 15476 18688 30952 61904 123808 247616 495232 990464