Search a number
-
+
42114300 = 22352140381
BaseRepresentation
bin1010000010100…
…1110011111100
32221020121221220
42200221303330
541240124200
64102353340
71020652134
oct240516374
987217856
1042114300
1121855108
121212b850
138957007
145843ac4
153a6d4a0
hex2829cfc

42114300 has 36 divisors (see below), whose sum is σ = 121851576. Its totient is φ = 11230400.

The previous prime is 42114239. The next prime is 42114301. The reversal of 42114300 is 341124.

42114300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421143002 = 3547228528980000, which contains 22 as substring.

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 42114300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114301) 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, 69891 + ... + 70490.

It is an arithmetic number, because the mean of its divisors is an integer number (3384766).

Almost surely, 242114300 is an apocalyptic number.

It is an amenable number.

42114300 is an abundant number, since it is smaller than the sum of its proper divisors (79737276).

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

42114300 is a wasteful number, since it uses less digits than its factorization.

42114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140398 (or 140391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42114300 is about 6489.5531433220. The cubic root of 42114300 is about 347.9177041495.

Adding to 42114300 its reverse (341124), we get a palindrome (42455424).

The spelling of 42114300 in words is "forty-two million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 140381 280762 421143 561524 701905 842286 1403810 1684572 2105715 2807620 3509525 4211430 7019050 8422860 10528575 14038100 21057150 42114300