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66046134 = 23711592423
BaseRepresentation
bin1111101111110…
…0100010110110
311121021111021010
43323330202312
5113401434014
610315333050
71431245220
oct373744266
9147244233
1066046134
1134310490
121a151186
13108b5c6b
148ab3410
155be9359
hex3efc8b6

66046134 has 64 divisors (see below), whose sum is σ = 167546880. Its totient is φ = 16857120.

The previous prime is 66046129. The next prime is 66046157. The reversal of 66046134 is 43164066.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26047 + ... + 28469.

It is an arithmetic number, because the mean of its divisors is an integer number (2617920).

Almost surely, 266046134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66046134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83773440).

66046134 is an abundant number, since it is smaller than the sum of its proper divisors (101500746).

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

66046134 is a wasteful number, since it uses less digits than its factorization.

66046134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 66046134 is about 8126.8772600551. The cubic root of 66046134 is about 404.2181410237.

The spelling of 66046134 in words is "sixty-six million, forty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 354 413 462 649 826 1239 1298 1947 2423 2478 3894 4543 4846 7269 9086 13629 14538 16961 26653 27258 33922 50883 53306 79959 101766 142957 159918 186571 285914 373142 428871 559713 857742 1000699 1119426 1572527 2001398 3002097 3145054 4717581 6004194 9435162 11007689 22015378 33023067 66046134