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66165640 = 2359717053
BaseRepresentation
bin1111110001100…
…1101110001000
311121111120012021
43330121232020
5113414300030
610322054224
71432253512
oct374315610
9147446167
1066165640
1134392252
121a1aa374
1310928488
148b04bb2
155c1e97a
hex3f19b88

66165640 has 32 divisors (see below), whose sum is σ = 150416280. Its totient is φ = 26191872.

The previous prime is 66165637. The next prime is 66165643. The reversal of 66165640 is 4656166.

It is an interprime number because it is at equal distance from previous prime (66165637) and next prime (66165643).

It can be written as a sum of positive squares in 4 ways, for example, as 47692836 + 18472804 = 6906^2 + 4298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66165596 and 66165605.

It is not an unprimeable number, because it can be changed into a prime (66165643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4647 + ... + 12406.

Almost surely, 266165640 is an apocalyptic number.

It is an amenable number.

66165640 is an abundant number, since it is smaller than the sum of its proper divisors (84250640).

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

66165640 is a wasteful number, since it uses less digits than its factorization.

66165640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17161 (or 17157 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 66165640 is about 8134.2264536955. The cubic root of 66165640 is about 404.4617958940.

The spelling of 66165640 in words is "sixty-six million, one hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 17053 34106 68212 85265 136424 170530 341060 682120 1654141 3308282 6616564 8270705 13233128 16541410 33082820 66165640