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66087396 = 223219531823
BaseRepresentation
bin1111110000011…
…0100111100100
311121100120212100
43330012213210
5113404244041
610320252100
71431506424
oct374064744
9147316770
1066087396
1134339491
121a171030
13108cb98b
148ac4484
155c066b6
hex3f069e4

66087396 has 72 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 20464704.

The previous prime is 66087391. The next prime is 66087397. The reversal of 66087396 is 69378066.

66087396 is a `hidden beast` number, since 6 + 608 + 7 + 39 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (66087391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35341 + ... + 37163.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 266087396 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 66087396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

66087396 is an abundant number, since it is smaller than the sum of its proper divisors (113175324).

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

66087396 is a wasteful number, since it uses less digits than its factorization.

66087396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 66087396 is about 8129.4154771423. The cubic root of 66087396 is about 404.3023012704.

It can be divided in two parts, 660873 and 96, that added together give a square (660969 = 8132).

The spelling of 66087396 in words is "sixty-six million, eighty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 477 636 684 954 1007 1823 1908 2014 3021 3646 4028 5469 6042 7292 9063 10938 12084 16407 18126 21876 32814 34637 36252 65628 69274 96619 103911 138548 193238 207822 289857 311733 386476 415644 579714 623466 869571 1159428 1246932 1739142 1835761 3478284 3671522 5507283 7343044 11014566 16521849 22029132 33043698 66087396