Search a number
-
+
950040 = 2332571329
BaseRepresentation
bin11100111111100011000
31210021012200
43213330120
5220400130
632210200
711034540
oct3477430
91707180
10950040
11599863
12399960
13273570
141aa320
1513b760
hexe7f18

950040 has 192 divisors, whose sum is σ = 3931200. Its totient is φ = 193536.

The previous prime is 950039. The next prime is 950041. The reversal of 950040 is 40059.

950040 = 672 + 682 + ... + 1462.

It is an interprime number because it is at equal distance from previous prime (950039) and next prime (950041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 949995 and 950022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (950041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32746 + ... + 32774.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2950040 is an apocalyptic number.

950040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600).

950040 is an abundant number, since it is smaller than the sum of its proper divisors (2981160).

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

950040 is a wasteful number, since it uses less digits than its factorization.

950040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 950040 is about 974.6999538319. The cubic root of 950040 is about 98.3061369457.

Adding to 950040 its reverse (40059), we get a palindrome (990099).

The spelling of 950040 in words is "nine hundred fifty thousand, forty".