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641128640 = 2658832269
BaseRepresentation
bin100110001101101…
…101100011000000
31122200101201011012
4212031231203000
52303112104030
6143341340052
721613334465
oct4615554300
91580351135
10641128640
112a999a489
1215a867628
13a2a99079
146121166c
153b444095
hex2636d8c0

641128640 has 56 divisors (see below), whose sum is σ = 1529090160. Its totient is φ = 256048128.

The previous prime is 641128619. The next prime is 641128643. The reversal of 641128640 is 46821146.

It is a super-2 number, since 2×6411286402 = 822091866056499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 641128597 and 641128606.

It is not an unprimeable number, because it can be changed into a prime (641128643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281426 + ... + 283694.

Almost surely, 2641128640 is an apocalyptic number.

It is an amenable number.

641128640 is an abundant number, since it is smaller than the sum of its proper divisors (887961520).

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

641128640 is a wasteful number, since it uses less digits than its factorization.

641128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 641128640 is about 25320.5181621546. The cubic root of 641128640 is about 862.2801579300.

Adding to 641128640 its reverse (46821146), we get a palindrome (687949786).

The spelling of 641128640 in words is "six hundred forty-one million, one hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 883 1766 2269 3532 4415 4538 7064 8830 9076 11345 14128 17660 18152 22690 28256 35320 36304 45380 56512 70640 72608 90760 141280 145216 181520 282560 363040 726080 2003527 4007054 8014108 10017635 16028216 20035270 32056432 40070540 64112864 80141080 128225728 160282160 320564320 641128640