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42715134 = 23371110273
BaseRepresentation
bin1010001011110…
…0011111111110
32222101011011000
42202330133332
541413341014
64123311130
71026033630
oct242743776
988334130
1042715134
1122125570
121237b4a6
138b07637
14595ca50
153b3b509
hex28bc7fe

42715134 has 64 divisors (see below), whose sum is σ = 118356480. Its totient is φ = 11093760.

The previous prime is 42715129. The next prime is 42715177. The reversal of 42715134 is 43151724.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42715098 and 42715107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979 + ... + 9294.

It is an arithmetic number, because the mean of its divisors is an integer number (1849320).

Almost surely, 242715134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42715134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59178240).

42715134 is an abundant number, since it is smaller than the sum of its proper divisors (75641346).

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

42715134 is a wasteful number, since it uses less digits than its factorization.

42715134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10296 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 42715134 is about 6535.6816017918. The cubic root of 42715134 is about 349.5644486869.

Adding to 42715134 its reverse (43151724), we get a palindrome (85866858).

It can be divided in two parts, 42715 and 134, that added together give a square (42849 = 2072).

The spelling of 42715134 in words is "forty-two million, seven hundred fifteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 10273 20546 30819 61638 71911 92457 113003 143822 184914 215733 226006 277371 339009 431466 554742 647199 678018 791021 1017027 1294398 1582042 1941597 2034054 2373063 3051081 3883194 4746126 6102162 7119189 14238378 21357567 42715134