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66943460 = 225191131559
BaseRepresentation
bin1111111101011…
…1100111100100
311122222002011102
43333113213210
5114114142320
610350455232
71442003303
oct377274744
9148862142
1066943460
1134873681
121a504518
1310b3b51c
148c6843a
155d25175
hex3fd79e4

66943460 has 48 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 25127424.

The previous prime is 66943439. The next prime is 66943493. The reversal of 66943460 is 6434966.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42161 + ... + 43719.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 266943460 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 66943460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

66943460 is an abundant number, since it is smaller than the sum of its proper divisors (82442140).

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

66943460 is a wasteful number, since it uses less digits than its factorization.

66943460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 66943460 is about 8181.8983127389. The cubic root of 66943460 is about 406.0405291709.

The spelling of 66943460 in words is "sixty-six million, nine hundred forty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 190 226 380 452 565 1130 1559 2147 2260 3118 4294 6236 7795 8588 10735 15590 21470 29621 31180 42940 59242 118484 148105 176167 296210 352334 592420 704668 880835 1761670 3347173 3523340 6694346 13388692 16735865 33471730 66943460