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66465750 = 23531317401
BaseRepresentation
bin1111110110001…
…0111111010110
311122001210212110
43331202333112
5114003401000
610332331450
71434643461
oct375427726
9148053773
1066465750
113457777a
121a313b86
1310a01c60
148b822d8
155c7d850
hex3f62fd6

66465750 has 128 divisors (see below), whose sum is σ = 189641088. Its totient is φ = 15360000.

The previous prime is 66465739. The next prime is 66465757. The reversal of 66465750 is 5756466.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 66465699 and 66465708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66465757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165550 + ... + 165950.

It is an arithmetic number, because the mean of its divisors is an integer number (1481571).

Almost surely, 266465750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66465750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94820544).

66465750 is an abundant number, since it is smaller than the sum of its proper divisors (123175338).

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

66465750 is a wasteful number, since it uses less digits than its factorization.

66465750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 66465750 is about 8152.6529424476. The cubic root of 66465750 is about 405.0723845625.

The spelling of 66465750 in words is "sixty-six million, four hundred sixty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 17 25 26 30 34 39 50 51 65 75 78 85 102 125 130 150 170 195 221 250 255 325 375 390 401 425 442 510 650 663 750 802 850 975 1105 1203 1275 1326 1625 1950 2005 2125 2210 2406 2550 3250 3315 4010 4250 4875 5213 5525 6015 6375 6630 6817 9750 10025 10426 11050 12030 12750 13634 15639 16575 20050 20451 26065 27625 30075 31278 33150 34085 40902 50125 52130 55250 60150 68170 78195 82875 88621 100250 102255 130325 150375 156390 165750 170425 177242 204510 260650 265863 300750 340850 390975 443105 511275 531726 651625 781950 852125 886210 1022550 1303250 1329315 1704250 1954875 2215525 2556375 2658630 3909750 4431050 5112750 6646575 11077625 13293150 22155250 33232875 66465750