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46420 = 22511211
BaseRepresentation
bin1011010101010100
32100200021
423111110
52441140
6554524
7252223
oct132524
970607
1046420
1131970
1222a44
131818a
1412cba
15db4a
hexb554

46420 has 24 divisors (see below), whose sum is σ = 106848. Its totient is φ = 16800.

The previous prime is 46411. The next prime is 46439. The reversal of 46420 is 2464.

46420 is nontrivially palindromic in base 9.

46420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 46394 and 46403.

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 46420.

It is an unprimeable number.

46420 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 7 ways as a sum of consecutive naturals, for example, 115 + ... + 325.

It is an arithmetic number, because the mean of its divisors is an integer number (4452).

246420 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 46420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53424).

46420 is an abundant number, since it is smaller than the sum of its proper divisors (60428).

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

46420 is a wasteful number, since it uses less digits than its factorization.

46420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 46420 is about 215.4530111184. The cubic root of 46420 is about 35.9391977774.

Adding to 46420 its reverse (2464), we get a palindrome (48884).

Subtracting from 46420 its reverse (2464), we obtain a triangular number (43956 = T296).

It can be divided in two parts, 464 and 20, that added together give a palindrome (484).

The spelling of 46420 in words is "forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 4220 4642 9284 11605 23210 46420