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216040 = 23511491
BaseRepresentation
bin110100101111101000
3101222100111
4310233220
523403130
64344104
71556566
oct645750
9358314
10216040
11138350
12a5034
1377446
1458a36
154402a
hex34be8

216040 has 32 divisors (see below), whose sum is σ = 531360. Its totient is φ = 78400.

The previous prime is 216037. The next prime is 216061. The reversal of 216040 is 40612.

216040 = T129 + T130 + ... + T150.

It is a self number, because there is not a number n which added to its sum of digits gives 216040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (16605).

216040 is a Friedman number, since it can be written as 60^(2+1)+40, using all its digits and the basic arithmetic operations.

2216040 is an apocalyptic number.

216040 is a gapful number since it is divisible by the number (20) 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 216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265680).

216040 is an abundant number, since it is smaller than the sum of its proper divisors (315320).

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

216040 is a wasteful number, since it uses less digits than its factorization.

216040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 216040 is about 464.8010327011. The cubic root of 216040 is about 60.0037034751.

Adding to 216040 its reverse (40612), we get a palindrome (256652).

The spelling of 216040 in words is "two hundred sixteen thousand, forty".