Search a number
-
+
402024 = 23372393
BaseRepresentation
bin1100010001001101000
3202102110210
41202021220
5100331044
612341120
73263040
oct1421150
9672423
10402024
11255057
121747a0
13110cac
14a6720
157e1b9
hex62268

402024 has 32 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 114816.

The previous prime is 402023. The next prime is 402029. The reversal of 402024 is 420204.

402024 = T80 + T81 + ... + T142.

402024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (402023) 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 7 ways as a sum of consecutive naturals, for example, 1029 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2402024 is an apocalyptic number.

It is an amenable number.

402024 is an abundant number, since it is smaller than the sum of its proper divisors (747096).

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

402024 is a wasteful number, since it uses less digits than its factorization.

402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 402024 is about 634.0536254924. The cubic root of 402024 is about 73.8046956127.

Adding to 402024 its reverse (420204), we get a palindrome (822228).

The spelling of 402024 in words is "four hundred two thousand, twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2393 4786 7179 9572 14358 16751 19144 28716 33502 50253 57432 67004 100506 134008 201012 402024