Search a number
-
+
66916000 = 255316729
BaseRepresentation
bin1111111101000…
…0111010100000
311122220200111101
43333100322200
5114112303000
610350124144
71441530244
oct377207240
9148820441
1066916000
1134854a88
121a4b0654
1310b2bb88
148c5c424
155d1be6a
hex3fd0ea0

66916000 has 48 divisors (see below), whose sum is σ = 164422440. Its totient is φ = 26764800.

The previous prime is 66915997. The next prime is 66916007. The reversal of 66916000 is 61966.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 42354064 = 4956^2 + 6508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66916000.

It is not an unprimeable number, because it can be changed into a prime (66916007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4365 + ... + 12364.

Almost surely, 266916000 is an apocalyptic number.

It is an amenable number.

66916000 is an abundant number, since it is smaller than the sum of its proper divisors (97506440).

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

66916000 is a wasteful number, since it uses less digits than its factorization.

66916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16754 (or 16736 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 66916000 is about 8180.2200459401. The cubic root of 66916000 is about 405.9850027220.

Adding to 66916000 its reverse (61966), we get a palindrome (66977966).

The spelling of 66916000 in words is "sixty-six million, nine hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 16729 33458 66916 83645 133832 167290 267664 334580 418225 535328 669160 836450 1338320 1672900 2091125 2676640 3345800 4182250 6691600 8364500 13383200 16729000 33458000 66916000