Search a number
-
+
65142126 = 23273789157
BaseRepresentation
bin1111100001111…
…1110101101110
311112120120012100
43320133311232
5113134022001
610244115530
71420461510
oct370376556
9145516170
1065142126
1133853275
1219995ba6
131065a64a
148919bb0
155abb586
hex3e1fd6e

65142126 has 96 divisors (see below), whose sum is σ = 168592320. Its totient is φ = 17791488.

The previous prime is 65142101. The next prime is 65142131. The reversal of 65142126 is 62124156.

65142126 is a `hidden beast` number, since 651 + 4 + 2 + 1 + 2 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 65142126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414840 + ... + 414996.

It is an arithmetic number, because the mean of its divisors is an integer number (1756170).

Almost surely, 265142126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65142126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84296160).

65142126 is an abundant number, since it is smaller than the sum of its proper divisors (103450194).

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

65142126 is a wasteful number, since it uses less digits than its factorization.

65142126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 65142126 is about 8071.0672156785. The cubic root of 65142126 is about 402.3654136397.

The spelling of 65142126 in words is "sixty-five million, one hundred forty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 89 111 126 157 178 222 259 267 314 333 471 518 534 623 666 777 801 942 1099 1246 1413 1554 1602 1869 2198 2331 2826 3293 3297 3738 4662 5607 5809 6586 6594 9879 9891 11214 11618 13973 17427 19758 19782 23051 27946 29637 34854 40663 41919 46102 52281 59274 69153 81326 83838 97811 104562 121989 125757 138306 195622 207459 243978 251514 293433 365967 414918 517001 586866 731934 880299 1034002 1551003 1760598 3102006 3619007 4653009 7238014 9306018 10857021 21714042 32571063 65142126