Search a number
-
+
215496 = 23324173
BaseRepresentation
bin110100100111001000
3101221121100
4310213020
523343441
64341400
71555161
oct644710
9357540
10215496
111379a6
12a4860
1377118
1458768
1543cb6
hex349c8

215496 has 48 divisors (see below), whose sum is σ = 606060. Its totient is φ = 69120.

The previous prime is 215483. The next prime is 215497. The reversal of 215496 is 694512.

215496 is a nontrivial binomial coefficient, being equal to C(657, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 202500 + 12996 = 450^2 + 114^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 215496.

It is not an unprimeable number, because it can be changed into a prime (215497) by changing a digit.

215496 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 11 ways as a sum of consecutive naturals, for example, 2916 + ... + 2988.

2215496 is an apocalyptic number.

215496 is the 656-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303030).

215496 is an abundant number, since it is smaller than the sum of its proper divisors (390564).

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

215496 is a wasteful number, since it uses less digits than its factorization.

215496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 215496 is about 464.2154672132. The cubic root of 215496 is about 59.9532969899.

The spelling of 215496 in words is "two hundred fifteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 73 82 123 146 164 219 246 292 328 369 438 492 584 657 738 876 984 1314 1476 1752 2628 2952 2993 5256 5986 8979 11972 17958 23944 26937 35916 53874 71832 107748 215496