Search a number
-
+
66142530 = 232531151157
BaseRepresentation
bin1111110001010…
…0000101000010
311121110101111100
43330110011002
5113413030110
610321355230
71432126236
oct374240502
9147411440
1066142530
1134376953
121a198b16
131091aabc
148ada5c6
155c17bc0
hex3f14142

66142530 has 96 divisors (see below), whose sum is σ = 179831808. Its totient is φ = 16848000.

The previous prime is 66142523. The next prime is 66142541. The reversal of 66142530 is 3524166.

It is a junction number, because it is equal to n+sod(n) for n = 66142494 and 66142503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421212 + ... + 421368.

It is an arithmetic number, because the mean of its divisors is an integer number (1873248).

Almost surely, 266142530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66142530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89915904).

66142530 is an abundant number, since it is smaller than the sum of its proper divisors (113689278).

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

66142530 is a wasteful number, since it uses less digits than its factorization.

66142530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66142530 is about 8132.8057889021. The cubic root of 66142530 is about 404.4147009540.

Adding to 66142530 its reverse (3524166), we get a palindrome (69666696).

The spelling of 66142530 in words is "sixty-six million, one hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 151 155 157 186 279 302 310 314 453 465 471 558 755 785 906 930 942 1359 1395 1413 1510 1570 2265 2355 2718 2790 2826 4530 4681 4710 4867 6795 7065 9362 9734 13590 14043 14130 14601 23405 23707 24335 28086 29202 42129 43803 46810 47414 48670 70215 71121 73005 84258 87606 118535 140430 142242 146010 210645 213363 219015 237070 355605 421290 426726 438030 711210 734917 1066815 1469834 2133630 2204751 3674585 4409502 6614253 7349170 11023755 13228506 22047510 33071265 66142530