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63640 = 2353743
BaseRepresentation
bin1111100010011000
310020022001
433202120
54014030
61210344
7353353
oct174230
9106261
1063640
11438a5
12309b4
1322c75
141929a
1513cca
hexf898

63640 has 32 divisors (see below), whose sum is σ = 150480. Its totient is φ = 24192.

The previous prime is 63629. The next prime is 63647. The reversal of 63640 is 4636.

It is a happy number.

63640 is nontrivially palindromic in base 7.

63640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1459 + ... + 1501.

263640 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 63640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75240).

63640 is an abundant number, since it is smaller than the sum of its proper divisors (86840).

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

63640 is a wasteful number, since it uses less digits than its factorization.

63640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 63640 is about 252.2696969515. The cubic root of 63640 is about 39.9248589339.

It can be divided in two parts, 636 and 40, that added together give a palindrome (676).

The spelling of 63640 in words is "sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 43 74 86 148 172 185 215 296 344 370 430 740 860 1480 1591 1720 3182 6364 7955 12728 15910 31820 63640