Search a number
-
+
215946 = 2343143
BaseRepresentation
bin110100101110001010
3101222020000
4310232022
523402241
64343430
71556403
oct645612
9358200
10215946
11138275
12a4b76
13773a3
14589aa
1543eb6
hex34b8a

215946 has 40 divisors (see below), whose sum is σ = 511104. Its totient is φ = 68040.

The previous prime is 215939. The next prime is 215953. The reversal of 215946 is 649512.

215946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (215939) and next prime (215953).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is an unprimeable number.

215946 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 19 ways as a sum of consecutive naturals, for example, 5001 + ... + 5043.

2215946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255552).

215946 is an abundant number, since it is smaller than the sum of its proper divisors (295158).

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

215946 is a wasteful number, since it uses less digits than its factorization.

215946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

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

The square root of 215946 is about 464.6999031633. The cubic root of 215946 is about 59.9949995833.

The spelling of 215946 in words is "two hundred fifteen thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 81 86 93 129 162 186 258 279 387 558 774 837 1161 1333 1674 2322 2511 2666 3483 3999 5022 6966 7998 11997 23994 35991 71982 107973 215946