Search a number
-
+
64134 = 2327509
BaseRepresentation
bin1111101010000110
310020222100
433222012
54023014
61212530
7354660
oct175206
9106870
1064134
1144204
1231146
1323265
1419530
1514009
hexfa86

64134 has 24 divisors (see below), whose sum is σ = 159120. Its totient is φ = 18288.

The previous prime is 64123. The next prime is 64151. The reversal of 64134 is 43146.

It is a super-2 number, since 2×641342 = 8226339912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

264134 is an apocalyptic number.

64134 is an abundant number, since it is smaller than the sum of its proper divisors (94986).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560).

64134 is a wasteful number, since it uses less digits than its factorization.

64134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 521 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 64134 is about 253.2469150849. The cubic root of 64134 is about 40.0278972058.

It can be divided in two parts, 6413 and 4, that multiplied together give a palindrome (25652).

The spelling of 64134 in words is "sixty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 509 1018 1527 3054 3563 4581 7126 9162 10689 21378 32067 64134