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66557320 = 23529181317
BaseRepresentation
bin1111110111100…
…1010110001000
311122020110110221
43331321112020
5114014313240
610334315424
71435504444
oct375712610
9148213427
1066557320
113462a555
121a358b74
1310a3483b
148ba7824
155c9aa4a
hex3f79588

66557320 has 64 divisors (see below), whose sum is σ = 156265200. Its totient is φ = 25482240.

The previous prime is 66557303. The next prime is 66557321. The reversal of 66557320 is 2375566.

It can be written as a sum of positive squares in 8 ways, for example, as 850084 + 65707236 = 922^2 + 8106^2 .

It is not an unprimeable number, because it can be changed into a prime (66557321) 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, 209802 + ... + 210118.

Almost surely, 266557320 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 66557320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78132600).

66557320 is an abundant number, since it is smaller than the sum of its proper divisors (89707880).

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

66557320 is a wasteful number, since it uses less digits than its factorization.

66557320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 66557320 is about 8158.2669728319. The cubic root of 66557320 is about 405.2583222179.

The spelling of 66557320 in words is "sixty-six million, five hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 181 232 290 317 362 580 634 724 905 1160 1268 1448 1585 1810 2536 3170 3620 5249 6340 7240 9193 10498 12680 18386 20996 26245 36772 41992 45965 52490 57377 73544 91930 104980 114754 183860 209960 229508 286885 367720 459016 573770 1147540 1663933 2295080 3327866 6655732 8319665 13311464 16639330 33278660 66557320