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46260 = 22325257
BaseRepresentation
bin1011010010110100
32100110100
423102310
52440020
6554100
7251604
oct132264
970410
1046260
1131835
1222930
1318096
1412c04
15da90
hexb4b4

46260 has 36 divisors (see below), whose sum is σ = 140868. Its totient is φ = 12288.

The previous prime is 46237. The next prime is 46261. The reversal of 46260 is 6264.

46260 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 can be written as a sum of positive squares in 2 ways, for example, as 34596 + 11664 = 186^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

46260 is an undulating number in base 16.

It is a nialpdrome in base 6 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46260.

It is not an unprimeable number, because it can be changed into a prime (46261) by changing a digit.

46260 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (3913).

246260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70434).

46260 is an abundant number, since it is smaller than the sum of its proper divisors (94608).

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

46260 is a wasteful number, since it uses less digits than its factorization.

46260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

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

The square root of 46260 is about 215.0813799472. The cubic root of 46260 is about 35.8978586205.

The spelling of 46260 in words is "forty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 514 771 1028 1285 1542 2313 2570 3084 3855 4626 5140 7710 9252 11565 15420 23130 46260