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41077134 = 232717127151
BaseRepresentation
bin1001110010110…
…0100110001110
32212021221020100
42130230212032
541003432014
64024231530
71006102260
oct234544616
985257210
1041077134
112120694a
121190b5a6
138682bc7
145653b30
153916009
hex272c98e

41077134 has 96 divisors (see below), whose sum is σ = 109264896. Its totient is φ = 10886400.

The previous prime is 41077129. The next prime is 41077147. The reversal of 41077134 is 43177014.

41077134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41077098 and 41077107.

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 47 ways as a sum of consecutive naturals, for example, 271959 + ... + 272109.

It is an arithmetic number, because the mean of its divisors is an integer number (1138176).

Almost surely, 241077134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41077134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54632448).

41077134 is an abundant number, since it is smaller than the sum of its proper divisors (68187762).

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

41077134 is a wasteful number, since it uses less digits than its factorization.

41077134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 41077134 is about 6409.1445607039. The cubic root of 41077134 is about 345.0378282402.

The spelling of 41077134 in words is "forty-one million, seventy-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 127 151 153 238 254 302 306 357 381 453 714 762 889 906 1057 1071 1143 1359 1778 2114 2142 2159 2286 2567 2667 2718 3171 4318 5134 5334 6342 6477 7701 8001 9513 12954 15113 15402 16002 17969 19026 19177 19431 23103 30226 35938 38354 38862 45339 46206 53907 57531 90678 107814 115062 134239 136017 161721 172593 268478 272034 323442 326009 345186 402717 652018 805434 978027 1208151 1956054 2282063 2416302 2934081 4564126 5868162 6846189 13692378 20538567 41077134