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216672 = 2533761
BaseRepresentation
bin110100111001100000
3102000012220
4310321200
523413142
64351040
71561461
oct647140
9360186
10216672
11138875
12a5480
1377811
1458d68
15442ec
hex34e60

216672 has 48 divisors (see below), whose sum is σ = 593712. Its totient is φ = 69120.

The previous prime is 216661. The next prime is 216679. The reversal of 216672 is 276612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3522 + ... + 3582.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2216672 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 216672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

216672 is an abundant number, since it is smaller than the sum of its proper divisors (377040).

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

216672 is a wasteful number, since it uses less digits than its factorization.

216672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 216672 is about 465.4803970094. The cubic root of 216672 is about 60.0621578068.

It can be divided in two parts, 21667 and 2, that multiplied together give a palindrome (43334).

The spelling of 216672 in words is "two hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 61 74 96 111 122 148 183 222 244 296 366 444 488 592 732 888 976 1184 1464 1776 1952 2257 2928 3552 4514 5856 6771 9028 13542 18056 27084 36112 54168 72224 108336 216672