Search a number
-
+
926480 = 24537313
BaseRepresentation
bin11100010001100010000
31202001220002
43202030100
5214121410
631505132
710606052
oct3421420
91661802
10926480
11583095
123881a8
13265919
141a18d2
151347a5
hexe2310

926480 has 40 divisors (see below), whose sum is σ = 2219352. Its totient is φ = 359424.

The previous prime is 926467. The next prime is 926489. The reversal of 926480 is 84629.

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 891136 = 188^2 + 944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (926489) by changing a digit.

926480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2804 + ... + 3116.

2926480 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 926480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109676).

926480 is an abundant number, since it is smaller than the sum of its proper divisors (1292872).

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

926480 is a wasteful number, since it uses less digits than its factorization.

926480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 926480 is about 962.5383109259. The cubic root of 926480 is about 97.4866955328.

The spelling of 926480 in words is "nine hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 313 370 592 626 740 1252 1480 1565 2504 2960 3130 5008 6260 11581 12520 23162 25040 46324 57905 92648 115810 185296 231620 463240 926480