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42114320 = 245526429
BaseRepresentation
bin1010000010100…
…1110100010000
32221020121222122
42200221310100
541240124240
64102353412
71020652163
oct240516420
987217878
1042114320
1121855126
121212b868
138957021
145843ada
153a6d4b5
hex2829d10

42114320 has 20 divisors (see below), whose sum is σ = 97915980. Its totient is φ = 16845696.

The previous prime is 42114301. The next prime is 42114323. The reversal of 42114320 is 2341124.

It can be written as a sum of positive squares in 2 ways, for example, as 10214416 + 31899904 = 3196^2 + 5648^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (42114323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263135 + ... + 263294.

It is an arithmetic number, because the mean of its divisors is an integer number (4895799).

Almost surely, 242114320 is an apocalyptic number.

42114320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42114320 is an abundant number, since it is smaller than the sum of its proper divisors (55801660).

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

42114320 is a wasteful number, since it uses less digits than its factorization.

42114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526442 (or 526436 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42114320 is about 6489.5546842599. The cubic root of 42114320 is about 347.9177592246.

Adding to 42114320 its reverse (2341124), we get a palindrome (44455444).

It can be divided in two parts, 421 and 14320, that added together give a palindrome (14741).

The spelling of 42114320 in words is "forty-two million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 526429 1052858 2105716 2632145 4211432 5264290 8422864 10528580 21057160 42114320