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66166520 = 2357673527
BaseRepresentation
bin1111110001100…
…1111011111000
311121111121101212
43330121323320
5113414312040
610322102252
71432256210
oct374317370
9147447355
1066166520
1134392982
121a1aa988
13109289b4
148b05240
155c1ed65
hex3f19ef8

66166520 has 64 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 22340736.

The previous prime is 66166501. The next prime is 66166523. The reversal of 66166520 is 2566166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66166523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16997 + ... + 20523.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 266166520 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 66166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

66166520 is an abundant number, since it is smaller than the sum of its proper divisors (106564360).

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

66166520 is a wasteful number, since it uses less digits than its factorization.

66166520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 66166520 is about 8134.2805459364. The cubic root of 66166520 is about 404.4635889939.

The spelling of 66166520 in words is "sixty-six million, one hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3527 3752 4690 7054 9380 14108 17635 18760 24689 28216 35270 49378 70540 98756 123445 141080 197512 236309 246890 472618 493780 945236 987560 1181545 1654163 1890472 2363090 3308326 4726180 6616652 8270815 9452360 13233304 16541630 33083260 66166520