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66676100 = 2252719391
BaseRepresentation
bin1111111001011…
…0010110000100
311122110111102012
43332112112010
5114032113400
610341033352
71436510651
oct376262604
9148414365
1066676100
1134700817
121a3b5858
1310a7691a
148bd8c28
155cc0d35
hex3f96584

66676100 has 36 divisors (see below), whose sum is σ = 146740608. Its totient is φ = 26292000.

The previous prime is 66676097. The next prime is 66676121. The reversal of 66676100 is 167666.

It is a super-2 number, since 2×666761002 = 8891404622420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2405 + ... + 11795.

It is an arithmetic number, because the mean of its divisors is an integer number (4076128).

Almost surely, 266676100 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 66676100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73370304).

66676100 is an abundant number, since it is smaller than the sum of its proper divisors (80064508).

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

66676100 is a wasteful number, since it uses less digits than its factorization.

66676100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9476 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 66676100 is about 8165.5434601746. The cubic root of 66676100 is about 405.4992572825.

The spelling of 66676100 in words is "sixty-six million, six hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 9391 18782 37564 46955 93910 187820 234775 469550 666761 939100 1333522 2667044 3333805 6667610 13335220 16669025 33338050 66676100