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66006150 = 23527371699
BaseRepresentation
bin1111101111001…
…0110010000110
311121012110102020
43323302302012
5113344144100
610314424010
71431020520
oct373626206
9147173366
1066006150
1134293441
121a132006
13108a09c2
148aa2a10
155bdc5a0
hex3ef2c86

66006150 has 96 divisors (see below), whose sum is σ = 192249600. Its totient is φ = 14670720.

The previous prime is 66006139. The next prime is 66006169. The reversal of 66006150 is 5160066.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66006150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38001 + ... + 39699.

It is an arithmetic number, because the mean of its divisors is an integer number (2002600).

Almost surely, 266006150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66006150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96124800).

66006150 is an abundant number, since it is smaller than the sum of its proper divisors (126243450).

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

66006150 is a wasteful number, since it uses less digits than its factorization.

66006150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66006150 is about 8124.4169021537. The cubic root of 66006150 is about 404.1365540088.

The spelling of 66006150 in words is "sixty-six million, six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 259 350 370 518 525 555 777 925 1050 1110 1295 1554 1699 1850 2590 2775 3398 3885 5097 5550 6475 7770 8495 10194 11893 12950 16990 19425 23786 25485 35679 38850 42475 50970 59465 62863 71358 84950 118930 125726 127425 178395 188589 254850 297325 314315 356790 377178 440041 594650 628630 880082 891975 942945 1320123 1571575 1783950 1885890 2200205 2640246 3143150 4400410 4714725 6600615 9429450 11001025 13201230 22002050 33003075 66006150