Search a number
-
+
942216 = 233114383
BaseRepresentation
bin11100110000010001000
31202212110220
43212002020
5220122331
632110040
711002662
oct3460210
91685426
10942216
115939a0
12395320
1326cb32
141a7532
15139296
hexe6088

942216 has 64 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 275520.

The previous prime is 942199. The next prime is 942217. The reversal of 942216 is 612249.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 942216.

It is not an unprimeable number, because it can be changed into a prime (942217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11311 + ... + 11393.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2942216 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 942216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

942216 is an abundant number, since it is smaller than the sum of its proper divisors (1718904).

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

942216 is a wasteful number, since it uses less digits than its factorization.

942216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 942216 is about 970.6781134856. The cubic root of 942216 is about 98.0355278655.

The spelling of 942216 in words is "nine hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 83 86 88 129 132 166 172 249 258 264 332 344 473 498 516 664 913 946 996 1032 1419 1826 1892 1992 2739 2838 3569 3652 3784 5478 5676 7138 7304 10707 10956 11352 14276 21414 21912 28552 39259 42828 78518 85656 117777 157036 235554 314072 471108 942216