Search a number
-
+
64129640 = 2351603241
BaseRepresentation
bin1111010010100…
…0101001101000
311110200010022212
43310220221220
5112404122030
610210304252
71406043611
oct364505150
9143603285
1064129640
1133221603
1219588088
1310394843
148734c08
15596b595
hex3d28a68

64129640 has 16 divisors (see below), whose sum is σ = 144291780. Its totient is φ = 25651840.

The previous prime is 64129619. The next prime is 64129649. The reversal of 64129640 is 4692146.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63712324 + 417316 = 7982^2 + 646^2 .

It is a super-2 number, since 2×641296402 = 8225221453059200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64129597 and 64129606.

It is not an unprimeable number, because it can be changed into a prime (64129649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 801581 + ... + 801660.

Almost surely, 264129640 is an apocalyptic number.

It is an amenable number.

64129640 is an abundant number, since it is smaller than the sum of its proper divisors (80162140).

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

64129640 is a wasteful number, since it uses less digits than its factorization.

64129640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603252 (or 1603248 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 64129640 is about 8008.0984009938. The cubic root of 64129640 is about 400.2699011758.

The spelling of 64129640 in words is "sixty-four million, one hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1603241 3206482 6412964 8016205 12825928 16032410 32064820 64129640