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66715560 = 23325473943
BaseRepresentation
bin1111111001111…
…1111110101000
311122112111112200
43332133332220
5114034344220
610341540200
71440034002
oct376377650
9148474480
1066715560
113472842a
121a414660
1310a8b882
148c09372
155ccc890
hex3f9ffa8

66715560 has 96 divisors (see below), whose sum is σ = 221495040. Its totient is φ = 17407872.

The previous prime is 66715541. The next prime is 66715567. The reversal of 66715560 is 6551766.

It is a happy number.

It is a super-2 number, since 2×667155602 = 8901931892227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66715567) 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, 14949 + ... + 18891.

It is an arithmetic number, because the mean of its divisors is an integer number (2307240).

Almost surely, 266715560 is an apocalyptic number.

66715560 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 66715560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110747520).

66715560 is an abundant number, since it is smaller than the sum of its proper divisors (154779480).

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

66715560 is a wasteful number, since it uses less digits than its factorization.

66715560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 66715560 is about 8167.9593534738. The cubic root of 66715560 is about 405.5792351915.

The spelling of 66715560 in words is "sixty-six million, seven hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 3943 4230 5640 7886 8460 11829 15772 16920 19715 23658 31544 35487 39430 47316 59145 70974 78860 94632 118290 141948 157720 177435 185321 236580 283896 354870 370642 473160 555963 709740 741284 926605 1111926 1419480 1482568 1667889 1853210 2223852 2779815 3335778 3706420 4447704 5559630 6671556 7412840 8339445 11119260 13343112 16678890 22238520 33357780 66715560