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241992 = 23323361
BaseRepresentation
bin111011000101001000
3110021221200
4323011020
530220432
65104200
72025342
oct730510
9407850
10241992
111558a3
12b8060
13861ba
1464292
154ba7c
hex3b148

241992 has 24 divisors (see below), whose sum is σ = 655590. Its totient is φ = 80640.

The previous prime is 241981. The next prime is 241993. The reversal of 241992 is 299142.

241992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 181476 + 60516 = 426^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 241992.

It is not an unprimeable number, because it can be changed into a prime (241993) by changing a digit.

241992 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 5 ways as a sum of consecutive naturals, for example, 1609 + ... + 1752.

2241992 is an apocalyptic number.

It is an amenable number.

241992 is an abundant number, since it is smaller than the sum of its proper divisors (413598).

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

241992 is a wasteful number, since it uses less digits than its factorization.

241992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3366 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 241992 is about 491.9268238265. The cubic root of 241992 is about 62.3161101497.

It can be divided in two parts, 24 and 1992, that added together give a triangular number (2016 = T63).

The spelling of 241992 in words is "two hundred forty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3361 6722 10083 13444 20166 26888 30249 40332 60498 80664 120996 241992