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66363132 = 22311717397
BaseRepresentation
bin1111110100100…
…1111011111100
311121212121002210
43331021323330
5113442110012
610330220420
71434035343
oct375117374
9147777083
1066363132
1134507670
121a284710
1310997334
148b56b5a
155c5d23c
hex3f49efc

66363132 has 96 divisors (see below), whose sum is σ = 175440384. Its totient is φ = 19353600.

The previous prime is 66363131. The next prime is 66363137. The reversal of 66363132 is 23136366.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66363132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66363131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684108 + ... + 684204.

It is an arithmetic number, because the mean of its divisors is an integer number (1827504).

Almost surely, 266363132 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 66363132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87720192).

66363132 is an abundant number, since it is smaller than the sum of its proper divisors (109077252).

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

66363132 is a wasteful number, since it uses less digits than its factorization.

66363132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 66363132 is about 8146.3569772015. The cubic root of 66363132 is about 404.8638103280.

Adding to 66363132 its reverse (23136366), we get a palindrome (89499498).

The spelling of 66363132 in words is "sixty-six million, three hundred sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 73 97 132 142 146 194 213 219 284 291 292 388 426 438 582 781 803 852 876 1067 1164 1562 1606 2134 2343 2409 3124 3201 3212 4268 4686 4818 5183 6402 6887 7081 9372 9636 10366 12804 13774 14162 15549 20661 20732 21243 27548 28324 31098 41322 42486 57013 62196 75757 77891 82644 84972 114026 151514 155782 171039 227271 228052 233673 303028 311564 342078 454542 467346 502751 684156 909084 934692 1005502 1508253 2011004 3016506 5530261 6033012 11060522 16590783 22121044 33181566 66363132