Search a number
-
+
980864 = 277997
BaseRepresentation
bin11101111011110000000
31211211111022
43233132000
5222341424
633005012
711223443
oct3573600
91754438
10980864
1160aa35
123b3768
132845c1
141b765a
1514595e
hexef780

980864 has 32 divisors (see below), whose sum is σ = 1999200. Its totient is φ = 479232.

The previous prime is 980851. The next prime is 980887. The reversal of 980864 is 468089.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 980864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10064 + ... + 10160.

It is an arithmetic number, because the mean of its divisors is an integer number (62475).

2980864 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 980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999600).

980864 is an abundant number, since it is smaller than the sum of its proper divisors (1018336).

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

980864 is an equidigital number, since it uses as much as digits as its factorization.

980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 980864 is about 990.3857834198. The cubic root of 980864 is about 99.3580207796.

The spelling of 980864 in words is "nine hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 79 97 128 158 194 316 388 632 776 1264 1552 2528 3104 5056 6208 7663 10112 12416 15326 30652 61304 122608 245216 490432 980864