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66696192 = 210327237
BaseRepresentation
bin1111111001101…
…1010000000000
311122111111222100
43332123100000
5114033234232
610341310400
71436623353
oct376332000
9148444870
1066696192
1134714922
121a405400
1310a82b04
148c0229a
155cc6c7c
hex3f9b400

66696192 has 66 divisors (see below), whose sum is σ = 192610418. Its totient is φ = 22228992.

The previous prime is 66696187. The next prime is 66696197. The reversal of 66696192 is 29169666.

It is an interprime number because it is at equal distance from previous prime (66696187) and next prime (66696197).

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 6230016 = 7776^2 + 2496^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66696197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5598 + ... + 12834.

Almost surely, 266696192 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 66696192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96305209).

66696192 is an abundant number, since it is smaller than the sum of its proper divisors (125914226).

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

66696192 is a wasteful number, since it uses less digits than its factorization.

66696192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263 (or 7242 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 66696192 is about 8166.7736591631. The cubic root of 66696192 is about 405.5399838840.

The spelling of 66696192 in words is "sixty-six million, six hundred ninety-six thousand, one hundred ninety-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 7237 9216 14474 21711 28948 43422 57896 65133 86844 115792 130266 173688 231584 260532 347376 463168 521064 694752 926336 1042128 1389504 1852672 2084256 2779008 3705344 4168512 5558016 7410688 8337024 11116032 16674048 22232064 33348096 66696192