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66100932 = 223211316249
BaseRepresentation
bin1111110000100…
…1111011000100
311121101021102200
43330021323010
5113410212212
610320434500
71431564042
oct374117304
9147337380
1066100932
1134348677
121a178a30
1310904ba1
148ac9392
155c0a6dc
hex3f09ec4

66100932 has 36 divisors (see below), whose sum is σ = 168577500. Its totient is φ = 21837312.

The previous prime is 66100921. The next prime is 66100939. The reversal of 66100932 is 23900166.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15634116 + 50466816 = 3954^2 + 7104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×661009322 = 8738666422537248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66100896 and 66100905.

It is not an unprimeable number, because it can be changed into a prime (66100939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4057 + ... + 12192.

Almost surely, 266100932 is an apocalyptic number.

It is an amenable number.

66100932 is an abundant number, since it is smaller than the sum of its proper divisors (102476568).

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

66100932 is a wasteful number, since it uses less digits than its factorization.

66100932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16372 (or 16367 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 66100932 is about 8130.2479666982. The cubic root of 66100932 is about 404.3299024102.

The spelling of 66100932 in words is "sixty-six million, one hundred thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 16249 32498 48747 64996 97494 146241 194988 292482 584964 1836137 3672274 5508411 7344548 11016822 16525233 22033644 33050466 66100932