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66144090 = 23523257373
BaseRepresentation
bin1111110001010…
…0011101011010
311121110110122010
43330110131122
5113413102330
610321410350
71432133625
oct374243532
9147413563
1066144090
1134378041
121a1999b6
131091b71c
148adadbc
155c183b0
hex3f1475a

66144090 has 64 divisors (see below), whose sum is σ = 166738176. Its totient is φ = 16760832.

The previous prime is 66144077. The next prime is 66144101. The reversal of 66144090 is 9044166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177144 + ... + 177516.

It is an arithmetic number, because the mean of its divisors is an integer number (2605284).

Almost surely, 266144090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66144090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83369088).

66144090 is an abundant number, since it is smaller than the sum of its proper divisors (100594086).

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

66144090 is a wasteful number, since it uses less digits than its factorization.

66144090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66144090 is about 8132.9016961968. The cubic root of 66144090 is about 404.4178803605.

The spelling of 66144090 in words is "sixty-six million, one hundred forty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 257 345 373 514 690 746 771 1119 1285 1542 1865 2238 2570 3730 3855 5595 5911 7710 8579 11190 11822 17158 17733 25737 29555 35466 42895 51474 59110 85790 88665 95861 128685 177330 191722 257370 287583 479305 575166 958610 1437915 2204803 2875830 4409606 6614409 11024015 13228818 22048030 33072045 66144090