Search a number
-
+
42120027 = 3312492
BaseRepresentation
bin1010000010101…
…1001101011011
32221020220211000
42200223031123
541240320102
64102440043
71021004625
oct240531533
987226730
1042120027
1121859444
1212133023
1389597c1
145845c15
153a7001c
hex282b35b

42120027 has 12 divisors (see below), whose sum is σ = 62450040. Its totient is φ = 28057536.

The previous prime is 42120007. The next prime is 42120049. The reversal of 42120027 is 72002124.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42120027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42120027 - 26 = 42119963 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42119991 and 42120009.

It is not an unprimeable number, because it can be changed into a prime (42120007) 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 11 ways as a sum of consecutive naturals, for example, 33099 + ... + 34347.

It is an arithmetic number, because the mean of its divisors is an integer number (5204170).

Almost surely, 242120027 is an apocalyptic number.

42120027 is a deficient number, since it is larger than the sum of its proper divisors (20330013).

42120027 is an frugal number, since it uses more digits than its factorization.

42120027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42120027 is about 6489.9943759606. The cubic root of 42120027 is about 347.9334742037.

The spelling of 42120027 in words is "forty-two million, one hundred twenty thousand, twenty-seven".

Divisors: 1 3 9 27 1249 3747 11241 33723 1560001 4680003 14040009 42120027