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46120 = 2351153
BaseRepresentation
bin1011010000101000
32100021011
423100220
52433440
6553304
7251314
oct132050
970234
1046120
1131718
1222834
1317cb9
1412b44
15d9ea
hexb428

46120 has 16 divisors (see below), whose sum is σ = 103860. Its totient is φ = 18432.

The previous prime is 46103. The next prime is 46133. The reversal of 46120 is 2164.

46120 = T91 + T92 + ... + T100.

It can be written as a sum of positive squares in 2 ways, for example, as 45796 + 324 = 214^2 + 18^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46120.

It is an unprimeable number.

46120 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 3 ways as a sum of consecutive naturals, for example, 537 + ... + 616.

246120 is an apocalyptic number.

46120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46120 is an abundant number, since it is smaller than the sum of its proper divisors (57740).

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 (51930).

46120 is a wasteful number, since it uses less digits than its factorization.

46120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 46120 is about 214.7556751287. The cubic root of 46120 is about 35.8616085944.

Adding to 46120 its reverse (2164), we get a palindrome (48284).

Subtracting from 46120 its reverse (2164), we obtain a triangular number (43956 = T296).

The spelling of 46120 in words is "forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1153 2306 4612 5765 9224 11530 23060 46120