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42120414 = 2327334289
BaseRepresentation
bin1010000010101…
…1010011011110
32221020221100100
42200223103132
541240323124
64102441530
71021006020
oct240532336
987227310
1042120414
1121859766
12121332a6
138959a2b
145846010
153a701c9
hex282b4de

42120414 has 24 divisors (see below), whose sum is σ = 104298480. Its totient is φ = 12034368.

The previous prime is 42120409. The next prime is 42120427. The reversal of 42120414 is 41402124.

42120414 is digitally balanced in base 2, 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 (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 167019 + ... + 167270.

It is an arithmetic number, because the mean of its divisors is an integer number (4345770).

Almost surely, 242120414 is an apocalyptic number.

42120414 is an abundant number, since it is smaller than the sum of its proper divisors (62178066).

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

42120414 is a wasteful number, since it uses less digits than its factorization.

42120414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334304 (or 334301 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42120414 is about 6490.0241910181. The cubic root of 42120414 is about 347.9345398079.

Adding to 42120414 its reverse (41402124), we get a palindrome (83522538).

The spelling of 42120414 in words is "forty-two million, one hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 334289 668578 1002867 2005734 2340023 3008601 4680046 6017202 7020069 14040138 21060207 42120414