Search a number
-
+
915940 = 225411117
BaseRepresentation
bin11011111100111100100
31201112102201
43133213210
5213302230
631344244
710533244
oct3374744
91645381
10915940
11576183
12382084
13260b9c
1419bb24
151315ca
hexdf9e4

915940 has 24 divisors (see below), whose sum is σ = 1972152. Its totient is φ = 357120.

The previous prime is 915919. The next prime is 915947. The reversal of 915940 is 49519.

It can be written as a sum of positive squares in 4 ways, for example, as 54756 + 861184 = 234^2 + 928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 915899 and 915908.

It is not an unprimeable number, because it can be changed into a prime (915947) by changing a digit.

915940 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262 + ... + 1378.

It is an arithmetic number, because the mean of its divisors is an integer number (82173).

2915940 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 915940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986076).

915940 is an abundant number, since it is smaller than the sum of its proper divisors (1056212).

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

915940 is a wasteful number, since it uses less digits than its factorization.

915940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 915940 is about 957.0475432287. The cubic root of 915940 is about 97.1156024216.

The spelling of 915940 in words is "nine hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1117 2234 4468 5585 11170 22340 45797 91594 183188 228985 457970 915940