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66097080 = 23335721249
BaseRepresentation
bin1111110000100…
…0111110111000
311121101002011000
43330020332320
5113410101310
610320405000
71431546600
oct374107670
9147332130
1066097080
1134345795
121a176760
13109031ca
148ac7c00
155c094c0
hex3f08fb8

66097080 has 192 divisors, whose sum is σ = 256500000. Its totient is φ = 15095808.

The previous prime is 66097069. The next prime is 66097111. The reversal of 66097080 is 8079066.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52296 + ... + 53544.

Almost surely, 266097080 is an apocalyptic number.

66097080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66097080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128250000).

66097080 is an abundant number, since it is smaller than the sum of its proper divisors (190402920).

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

66097080 is a wasteful number, since it uses less digits than its factorization.

66097080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 66097080 is about 8130.0110701032. The cubic root of 66097080 is about 404.3220482141.

It can be divided in two parts, 6609 and 7080, that added together give a square (13689 = 1172).

The spelling of 66097080 in words is "sixty-six million, ninety-seven thousand, eighty".