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66750054 = 2372297829
BaseRepresentation
bin1111111010100…
…0011001100110
311122121020212020
43332220121212
5114042000204
610342404010
71440236400
oct376503146
9148536766
1066750054
1134751338
121a430606
1310aa1497
148c17b70
155cd7bd9
hex3fa8666

66750054 has 48 divisors (see below), whose sum is σ = 160671600. Its totient is φ = 18411456.

The previous prime is 66750053. The next prime is 66750113. The reversal of 66750054 is 45005766.

It is a junction number, because it is equal to n+sod(n) for n = 66749997 and 66750024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66750053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4612 + ... + 12440.

It is an arithmetic number, because the mean of its divisors is an integer number (3347325).

Almost surely, 266750054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66750054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80335800).

66750054 is an abundant number, since it is smaller than the sum of its proper divisors (93921546).

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

66750054 is a wasteful number, since it uses less digits than its factorization.

66750054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 66750054 is about 8170.0706239298. The cubic root of 66750054 is about 405.6491221351.

It can be divided in two parts, 667 and 50054, that added together give a triangular number (50721 = T318).

The spelling of 66750054 in words is "sixty-six million, seven hundred fifty thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1218 1421 2842 4263 7829 8526 15658 23487 46974 54803 109606 164409 227041 328818 383621 454082 681123 767242 1150863 1362246 1589287 2301726 3178574 4767861 9535722 11125009 22250018 33375027 66750054