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46134 = 23211233
BaseRepresentation
bin1011010000110110
32100021200
423100312
52434014
6553330
7251334
oct132066
970250
1046134
1131730
1222846
1317cca
1412b54
15da09
hexb436

46134 has 24 divisors (see below), whose sum is σ = 109512. Its totient is φ = 13920.

The previous prime is 46133. The next prime is 46141. The reversal of 46134 is 43164.

46134 = T22 + T23 + ... + T65.

46134 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (4563).

246134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54756).

46134 is an abundant number, since it is smaller than the sum of its proper divisors (63378).

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

46134 is a wasteful number, since it uses less digits than its factorization.

46134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

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

The square root of 46134 is about 214.7882678360. The cubic root of 46134 is about 35.8652368954.

Adding to 46134 its reverse (43164), we get a palindrome (89298).

The spelling of 46134 in words is "forty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 466 699 1398 2097 2563 4194 5126 7689 15378 23067 46134