Search a number
-
+
990960 = 24354129
BaseRepresentation
bin11110001111011110000
31212100100020
43301323300
5223202320
633123440
711265045
oct3617360
91770306
10990960
11617583
123b9580
13289089
141bb1cc
15148940
hexf1ef0

990960 has 40 divisors (see below), whose sum is σ = 3072720. Its totient is φ = 264192.

The previous prime is 990953. The next prime is 990961. The reversal of 990960 is 69099.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990961) by changing a digit.

990960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1825 + ... + 2304.

It is an arithmetic number, because the mean of its divisors is an integer number (76818).

2990960 is an apocalyptic number.

It is an amenable number.

990960 is an abundant number, since it is smaller than the sum of its proper divisors (2081760).

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

990960 is a wasteful number, since it uses less digits than its factorization.

990960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 990960 is about 995.4697383648. The cubic root of 990960 is about 99.6977540610.

The spelling of 990960 in words is "nine hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4129 8258 12387 16516 20645 24774 33032 41290 49548 61935 66064 82580 99096 123870 165160 198192 247740 330320 495480 990960