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66143232 = 210327177
BaseRepresentation
bin1111110001010…
…0010000000000
311121110102110100
43330110100000
5113413040412
610321402400
71432131261
oct374242000
9147412410
1066143232
1134377431
121a199400
131091b20c
148ada968
155c17edc
hex3f14400

66143232 has 66 divisors (see below), whose sum is σ = 191013758. Its totient is φ = 22044672.

The previous prime is 66143221. The next prime is 66143257. The reversal of 66143232 is 23234166.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 1115136 = 8064^2 + 1056^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 66143196 and 66143205.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5628 + ... + 12804.

Almost surely, 266143232 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 66143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95506879).

66143232 is an abundant number, since it is smaller than the sum of its proper divisors (124870526).

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

66143232 is a wasteful number, since it uses less digits than its factorization.

66143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7182 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 66143232 is about 8132.8489473247. The cubic root of 66143232 is about 404.4161316931.

Adding to 66143232 its reverse (23234166), we get a palindrome (89377398).

The spelling of 66143232 in words is "sixty-six million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 7177 9216 14354 21531 28708 43062 57416 64593 86124 114832 129186 172248 229664 258372 344496 459328 516744 688992 918656 1033488 1377984 1837312 2066976 2755968 3674624 4133952 5511936 7349248 8267904 11023872 16535808 22047744 33071616 66143232