Search a number
-
+
7028017164 = 223475875279
BaseRepresentation
bin1101000101110011…
…10000100000001100
3200010210110021010000
412202321300200030
5103343133022124
63121214444300
7336106105650
oct64271604014
920123407100
107028017164
112a87150353
121441803690
1388006554c
144a9570a60
152b20006c9
hex1a2e7080c

7028017164 has 120 divisors (see below), whose sum is σ = 21037040640. Its totient is φ = 2004204384.

The previous prime is 7028017159. The next prime is 7028017181. The reversal of 7028017164 is 4617108207.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1328677 + ... + 1333955.

It is an arithmetic number, because the mean of its divisors is an integer number (175308672).

Almost surely, 27028017164 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 7028017164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518520320).

7028017164 is an abundant number, since it is smaller than the sum of its proper divisors (14009023476).

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

7028017164 is a wasteful number, since it uses less digits than its factorization.

7028017164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7028017164 is about 83833.2700304599. The cubic root of 7028017164 is about 1915.4799237990.

The spelling of 7028017164 in words is "seven billion, twenty-eight million, seventeen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 587 756 1134 1174 1761 2268 2348 3522 4109 5279 5283 7044 8218 10558 10566 12327 15837 15849 16436 21116 21132 24654 31674 31698 36953 36981 47511 47547 49308 63348 63396 73906 73962 95022 95094 110859 110943 142533 147812 147924 190044 190188 221718 221886 285066 332577 332829 427599 443436 443772 570132 665154 665658 855198 997731 1330308 1331316 1710396 1995462 2993193 3098773 3990924 5986386 6197546 9296319 11972772 12395092 18592638 21691411 27888957 37185276 43382822 55777914 65074233 83666871 86765644 111555828 130148466 167333742 195222699 251000613 260296932 334667484 390445398 502001226 585668097 780890796 1004002452 1171336194 1757004291 2342672388 3514008582 7028017164