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641020728 = 233311316577
BaseRepresentation
bin100110001101010…
…011001100111000
31122200012020010110
4212031103030320
52303100130403
6143335144320
721612405045
oct4615231470
91580166113
10641020728
112a99263a7
1215a8150a0
13a2a5bc0a
14611c41cc
153b422103
hex26353338

641020728 has 64 divisors (see below), whose sum is σ = 1667128320. Its totient is φ = 205171200.

The previous prime is 641020711. The next prime is 641020729. The reversal of 641020728 is 827020146.

It is a junction number, because it is equal to n+sod(n) for n = 641020695 and 641020704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641020729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94176 + ... + 100752.

It is an arithmetic number, because the mean of its divisors is an integer number (26048880).

Almost surely, 2641020728 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 641020728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833564160).

641020728 is an abundant number, since it is smaller than the sum of its proper divisors (1026107592).

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

641020728 is a wasteful number, since it uses less digits than its factorization.

641020728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 641020728 is about 25318.3871524234. The cubic root of 641020728 is about 862.2317767931.

The spelling of 641020728 in words is "six hundred forty-one million, twenty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 131 186 248 262 372 393 524 744 786 1048 1572 3144 4061 6577 8122 12183 13154 16244 19731 24366 26308 32488 39462 48732 52616 78924 97464 157848 203887 407774 611661 815548 861587 1223322 1631096 1723174 2446644 2584761 3446348 4893288 5169522 6892696 10339044 20678088 26709197 53418394 80127591 106836788 160255182 213673576 320510364 641020728