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66540704 = 254121237
BaseRepresentation
bin1111110111010…
…1010010100000
311122012121200112
43331311102200
5114013300304
610334110452
71435405136
oct375652240
9148177615
1066540704
113461901a
121a34b428
1310a2a0c9
148ba1756
155c95b6e
hex3f754a0

66540704 has 36 divisors (see below), whose sum is σ = 134383662. Its totient is φ = 32432640.

The previous prime is 66540697. The next prime is 66540709. The reversal of 66540704 is 40704566.

It can be written as a sum of positive squares in 3 ways, for example, as 30780304 + 35760400 = 5548^2 + 5980^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (66540709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53174 + ... + 54410.

Almost surely, 266540704 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 66540704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67191831).

66540704 is an abundant number, since it is smaller than the sum of its proper divisors (67842958).

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

66540704 is a wasteful number, since it uses less digits than its factorization.

66540704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 66540704 is about 8157.2485557325. The cubic root of 66540704 is about 405.2245952353.

The spelling of 66540704 in words is "sixty-six million, five hundred forty thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1237 1312 1681 2474 3362 4948 6724 9896 13448 19792 26896 39584 50717 53792 101434 202868 405736 811472 1622944 2079397 4158794 8317588 16635176 33270352 66540704