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66660144 = 24310712979
BaseRepresentation
bin1111111001001…
…0011100110000
311122102200112020
43332102130300
5114031111034
610340431440
71436413305
oct376223460
9148380466
1066660144
113469a831
121a3a8580
1310a6c595
148bd30ac
155cbb249
hex3f92730

66660144 has 40 divisors (see below), whose sum is σ = 173828160. Its totient is φ = 22010688.

The previous prime is 66660131. The next prime is 66660161. The reversal of 66660144 is 44106666.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1354 + ... + 11625.

It is an arithmetic number, because the mean of its divisors is an integer number (4345704).

Almost surely, 266660144 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 66660144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86914080).

66660144 is an abundant number, since it is smaller than the sum of its proper divisors (107168016).

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

66660144 is a wasteful number, since it uses less digits than its factorization.

66660144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13097 (or 13091 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 66660144 is about 8164.5663693793. The cubic root of 66660144 is about 405.4669085482.

The spelling of 66660144 in words is "sixty-six million, six hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 12979 25958 38937 51916 77874 103832 155748 207664 311496 622992 1388753 2777506 4166259 5555012 8332518 11110024 16665036 22220048 33330072 66660144