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668259480 = 233572334589
BaseRepresentation
bin100111110101001…
…101010010011000
31201120110002200010
4213311031102120
52332033300410
6150151041520
722363053240
oct4765152230
91646402603
10668259480
11313240269
121679702a0
13a85a8115
1464a74b20
153da02c20
hex27d4d498

668259480 has 128 divisors (see below), whose sum is σ = 2390860800. Its totient is φ = 146099712.

The previous prime is 668259463. The next prime is 668259491. The reversal of 668259480 is 84952866.

It is a happy number.

668259480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2026 + ... + 36614.

It is an arithmetic number, because the mean of its divisors is an integer number (18678600).

Almost surely, 2668259480 is an apocalyptic number.

668259480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668259480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195430400).

668259480 is an abundant number, since it is smaller than the sum of its proper divisors (1722601320).

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

668259480 is a wasteful number, since it uses less digits than its factorization.

668259480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34633 (or 34629 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 668259480 is about 25850.7152705684. The cubic root of 668259480 is about 874.2756366963.

The spelling of 668259480 in words is "six hundred sixty-eight million, two hundred fifty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 34589 69178 103767 138356 172945 207534 242123 276712 345890 415068 484246 518835 691780 726369 795547 830136 968492 1037670 1210615 1383560 1452738 1591094 1936984 2075340 2386641 2421230 2905476 3182188 3631845 3977735 4150680 4773282 4842460 5568829 5810952 6364376 7263690 7955470 9546564 9684920 11137658 11933205 14527380 15910940 16706487 19093128 22275316 23866410 27844145 29054760 31821880 33412974 44550632 47732820 55688290 66825948 83532435 95465640 111376580 133651896 167064870 222753160 334129740 668259480