Search a number
-
+
67134942 = 23271929967
BaseRepresentation
bin1000000000001…
…10010111011110
311200022210211100
410000012113132
5114141304232
610354533530
71443431460
oct400062736
9150283740
1067134942
1134994526
121a5972a6
1310ba7724
148cb8130
155d61c7c
hex40065de

67134942 has 96 divisors (see below), whose sum is σ = 181209600. Its totient is φ = 17527104.

The previous prime is 67134931. The next prime is 67134959. The reversal of 67134942 is 24943176.

It is a junction number, because it is equal to n+sod(n) for n = 67134897 and 67134906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68943 + ... + 69909.

It is an arithmetic number, because the mean of its divisors is an integer number (1887600).

Almost surely, 267134942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67134942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90604800).

67134942 is an abundant number, since it is smaller than the sum of its proper divisors (114074658).

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

67134942 is a wasteful number, since it uses less digits than its factorization.

67134942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1027 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 67134942 is about 8193.5915202065. The cubic root of 67134942 is about 406.4273005342.

The spelling of 67134942 in words is "sixty-seven million, one hundred thirty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 57 58 63 87 114 126 133 171 174 203 261 266 342 399 406 522 551 609 798 967 1102 1197 1218 1653 1827 1934 2394 2901 3306 3654 3857 4959 5802 6769 7714 8703 9918 11571 13538 17406 18373 20307 23142 28043 34713 36746 40614 55119 56086 60921 69426 84129 110238 121842 128611 165357 168258 196301 252387 257222 330714 385833 392602 504774 532817 588903 771666 1065634 1157499 1177806 1598451 1766709 2314998 3196902 3533418 3729719 4795353 7459438 9590706 11189157 22378314 33567471 67134942