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66683340 = 22325370463
BaseRepresentation
bin1111111001100…
…0000111001100
311122110212100100
43332120013030
5114032331330
610341131100
71436541033
oct376300714
9148425310
1066683340
11347061a9
121a3b9a90
1310a79cc9
148bdb71a
155cc3060
hex3f981cc

66683340 has 36 divisors (see below), whose sum is σ = 202273344. Its totient is φ = 17782176.

The previous prime is 66683327. The next prime is 66683341. The reversal of 66683340 is 4338666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 66683295 and 66683304.

It is not an unprimeable number, because it can be changed into a prime (66683341) 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, 185052 + ... + 185411.

It is an arithmetic number, because the mean of its divisors is an integer number (5618704).

Almost surely, 266683340 is an apocalyptic number.

66683340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66683340 is an abundant number, since it is smaller than the sum of its proper divisors (135590004).

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

66683340 is a wasteful number, since it uses less digits than its factorization.

66683340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370478 (or 370473 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 66683340 is about 8165.9867744199. The cubic root of 66683340 is about 405.5139337476.

The spelling of 66683340 in words is "sixty-six million, six hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 370463 740926 1111389 1481852 1852315 2222778 3334167 3704630 4445556 5556945 6668334 7409260 11113890 13336668 16670835 22227780 33341670 66683340