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66275000 = 235511241
BaseRepresentation
bin1111110011010…
…0011010111000
311121201010012122
43330310122320
5113431300000
610324300412
71433220401
oct374643270
9147633178
1066275000
1134457430
121a241708
131096619c
148b329a8
155c42085
hex3f346b8

66275000 has 96 divisors (see below), whose sum is σ = 170145360. Its totient is φ = 24000000.

The previous prime is 66274991. The next prime is 66275017. The reversal of 66275000 is 57266.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274880 + ... + 275120.

Almost surely, 266275000 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 66275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85072680).

66275000 is an abundant number, since it is smaller than the sum of its proper divisors (103870360).

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

66275000 is a wasteful number, since it uses less digits than its factorization.

66275000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 66275000 is about 8140.9458909883. The cubic root of 66275000 is about 404.6845076378.

The spelling of 66275000 in words is "sixty-six million, two hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 241 250 275 440 482 500 550 625 964 1000 1100 1205 1250 1375 1928 2200 2410 2500 2651 2750 3125 4820 5000 5302 5500 6025 6250 6875 9640 10604 11000 12050 12500 13255 13750 21208 24100 25000 26510 27500 30125 34375 48200 53020 55000 60250 66275 68750 106040 120500 132550 137500 150625 241000 265100 275000 301250 331375 530200 602500 662750 753125 1205000 1325500 1506250 1656875 2651000 3012500 3313750 6025000 6627500 8284375 13255000 16568750 33137500 66275000