Search a number
-
+
6120252 = 223361929
BaseRepresentation
bin10111010110001100111100
3102111221102000
4113112030330
53031322002
6335102300
7103010205
oct27261474
912457360
106120252
113500266
122071990
131363968
14b545ac
1580d61c
hex5d633c

6120252 has 48 divisors (see below), whose sum is σ = 16144800. Its totient is φ = 2004480.

The previous prime is 6120251. The next prime is 6120253. The reversal of 6120252 is 2520216.

6120252 is a `hidden beast` number, since 612 + 0 + 2 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (6120251) and next prime (6120253).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6120251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6124 + ... + 7052.

It is an arithmetic number, because the mean of its divisors is an integer number (336350).

Almost surely, 26120252 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 6120252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072400).

6120252 is an abundant number, since it is smaller than the sum of its proper divisors (10024548).

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

6120252 is a wasteful number, since it uses less digits than its factorization.

6120252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6120252 is about 2473.9143073276. The cubic root of 6120252 is about 182.9179960457.

Adding to 6120252 its reverse (2520216), we get a palindrome (8640468).

The spelling of 6120252 in words is "six million, one hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 929 1098 1647 1858 2196 2787 3294 3716 5574 6588 8361 11148 16722 25083 33444 50166 56669 100332 113338 170007 226676 340014 510021 680028 1020042 1530063 2040084 3060126 6120252