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659980216 = 237223711031
BaseRepresentation
bin100111010101100…
…111111110111000
31200222212110122201
4213111213332320
52322423331331
6145253355544
722232511400
oct4725477670
91628773581
10659980216
113095a59a5
12165038bb4
13a696984c
146391b800
153ce19a61
hex27567fb8

659980216 has 96 divisors (see below), whose sum is σ = 1524718080. Its totient is φ = 266481600.

The previous prime is 659980213. The next prime is 659980241. The reversal of 659980216 is 612089956.

It is a super-2 number, since 2×6599802162 = 871147771022813312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (659980213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639621 + ... + 640651.

It is an arithmetic number, because the mean of its divisors is an integer number (15882480).

Almost surely, 2659980216 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 659980216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762359040).

659980216 is an abundant number, since it is smaller than the sum of its proper divisors (864737864).

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

659980216 is a wasteful number, since it uses less digits than its factorization.

659980216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 659980216 is about 25690.0801088669. The cubic root of 659980216 is about 870.6500694784.

The spelling of 659980216 in words is "six hundred fifty-nine million, nine hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 71 92 98 142 161 184 196 284 322 392 497 568 644 994 1031 1127 1288 1633 1988 2062 2254 3266 3479 3976 4124 4508 6532 6958 7217 8248 9016 11431 13064 13916 14434 22862 23713 27832 28868 45724 47426 50519 57736 73201 80017 91448 94852 101038 146402 160034 165991 189704 202076 292804 320068 331982 404152 512407 585608 640136 663964 1024814 1161937 1327928 1683623 2049628 2323874 3367246 3586849 4099256 4647748 6734492 7173698 9295496 11785361 13468984 14347396 23570722 28694792 47141444 82497527 94282888 164995054 329990108 659980216