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64420 = 2253221
BaseRepresentation
bin1111101110100100
310021100221
433232210
54030140
61214124
7355546
oct175644
9107327
1064420
1144444
1231344
1323425
1419696
151414a
hexfba4

64420 has 12 divisors (see below), whose sum is σ = 135324. Its totient is φ = 25760.

The previous prime is 64403. The next prime is 64433. The reversal of 64420 is 2446.

64420 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 27556 = 192^2 + 166^2 .

It is an Ulam number.

64420 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 10, base 11 and base 16.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 64394 and 64403.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1591 + ... + 1630.

It is an arithmetic number, because the mean of its divisors is an integer number (11277).

264420 is an apocalyptic number.

It is an amenable number.

64420 is an abundant number, since it is smaller than the sum of its proper divisors (70904).

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 (67662).

64420 is a wasteful number, since it uses less digits than its factorization.

64420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3228 counting only the distinct ones).

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

The square root of 64420 is about 253.8109532703. The cubic root of 64420 is about 40.0873092885.

Adding to 64420 its reverse (2446), we get a palindrome (66866).

It can be divided in two parts, 644 and 20, that multiplied together give a triangular number (12880 = T160).

The spelling of 64420 in words is "sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 3221 6442 12884 16105 32210 64420