Search a number
-
+
42120420 = 2235702007
BaseRepresentation
bin1010000010101…
…1010011100100
32221020221100120
42200223103210
541240323140
64102441540
71021006026
oct240532344
987227316
1042120420
1121859771
12121332b0
138959a34
145846016
153a701d0
hex282b4e4

42120420 has 24 divisors (see below), whose sum is σ = 117937344. Its totient is φ = 11232096.

The previous prime is 42120409. The next prime is 42120427. The reversal of 42120420 is 2402124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42120420.

It is not an unprimeable number, because it can be changed into a prime (42120427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350944 + ... + 351063.

It is an arithmetic number, because the mean of its divisors is an integer number (4914056).

Almost surely, 242120420 is an apocalyptic number.

It is an amenable number.

42120420 is an abundant number, since it is smaller than the sum of its proper divisors (75816924).

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

42120420 is a wasteful number, since it uses less digits than its factorization.

42120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702019 (or 702017 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42120420 is about 6490.0246532660. The cubic root of 42120420 is about 347.9345563289.

Adding to 42120420 its reverse (2402124), we get a palindrome (44522544).

The spelling of 42120420 in words is "forty-two million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 702007 1404014 2106021 2808028 3510035 4212042 7020070 8424084 10530105 14040140 21060210 42120420