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66315054 = 231319291543
BaseRepresentation
bin1111110011111…
…0001100101110
311121210011011010
43330332030232
5113434040204
610325210050
71433445231
oct374761456
9147704133
1066315054
1134484533
121a260926
131097b4a0
148b43418
155c4dd89
hex3f3e32e

66315054 has 64 divisors (see below), whose sum is σ = 155635200. Its totient is φ = 18652032.

The previous prime is 66315047. The next prime is 66315061. The reversal of 66315054 is 45051366.

It is an interprime number because it is at equal distance from previous prime (66315047) and next prime (66315061).

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, 42207 + ... + 43749.

It is an arithmetic number, because the mean of its divisors is an integer number (2431800).

Almost surely, 266315054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66315054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77817600).

66315054 is an abundant number, since it is smaller than the sum of its proper divisors (89320146).

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

66315054 is a wasteful number, since it uses less digits than its factorization.

66315054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 66315054 is about 8143.4055529612. The cubic root of 66315054 is about 404.7660163462.

The spelling of 66315054 in words is "sixty-six million, three hundred fifteen thousand, fifty-four".

Divisors: 1 2 3 6 13 19 26 29 38 39 57 58 78 87 114 174 247 377 494 551 741 754 1102 1131 1482 1543 1653 2262 3086 3306 4629 7163 9258 14326 20059 21489 29317 40118 42978 44747 58634 60177 87951 89494 120354 134241 175902 268482 381121 581711 762242 850193 1143363 1163422 1700386 1745133 2286726 2550579 3490266 5101158 11052509 22105018 33157527 66315054