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66315260 = 22511267409
BaseRepresentation
bin1111110011111…
…0001111111100
311121210011102202
43330332033330
5113434042020
610325211032
71433445644
oct374761774
9147704382
1066315260
1134484700
121a260a78
131097b5cb
148b43524
155c4de75
hex3f3e3fc

66315260 has 72 divisors (see below), whose sum is σ = 155737680. Its totient is φ = 23696640.

The previous prime is 66315259. The next prime is 66315289. The reversal of 66315260 is 6251366.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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, 161936 + ... + 162344.

Almost surely, 266315260 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 66315260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77868840).

66315260 is an abundant number, since it is smaller than the sum of its proper divisors (89422420).

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

66315260 is a wasteful number, since it uses less digits than its factorization.

66315260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 66315260 is about 8143.4182012224. The cubic root of 66315260 is about 404.7664354653.

The spelling of 66315260 in words is "sixty-six million, three hundred fifteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 121 134 220 242 268 335 409 484 605 670 737 818 1210 1340 1474 1636 2045 2420 2948 3685 4090 4499 7370 8107 8180 8998 14740 16214 17996 22495 27403 32428 40535 44990 49489 54806 81070 89980 98978 109612 137015 162140 197956 247445 274030 301433 494890 548060 602866 989780 1205732 1507165 3014330 3315763 6028660 6631526 13263052 16578815 33157630 66315260