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46020 = 22351359
BaseRepresentation
bin1011001111000100
32100010110
423033010
52433040
6553020
7251112
oct131704
970113
1046020
1131637
1222770
1317c40
1412ab2
15d980
hexb3c4

46020 has 48 divisors (see below), whose sum is σ = 141120. Its totient is φ = 11136.

The previous prime is 45989. The next prime is 46021. The reversal of 46020 is 2064.

46020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×460205 (a number of 25 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 45987 and 46005.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46020.

It is not an unprimeable number, because it can be changed into a prime (46021) by changing a digit.

46020 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 15 ways as a sum of consecutive naturals, for example, 751 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

246020 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 46020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

46020 is an abundant number, since it is smaller than the sum of its proper divisors (95100).

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

46020 is a wasteful number, since it uses less digits than its factorization.

46020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 46020 is about 214.5227260688. The cubic root of 46020 is about 35.8356707808.

Adding to 46020 its reverse (2064), we get a palindrome (48084).

Subtracting from 46020 its reverse (2064), we obtain a triangular number (43956 = T296).

The spelling of 46020 in words is "forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 59 60 65 78 118 130 156 177 195 236 260 295 354 390 590 708 767 780 885 1180 1534 1770 2301 3068 3540 3835 4602 7670 9204 11505 15340 23010 46020