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66379500 = 22345311149
BaseRepresentation
bin1111110100110…
…1111011101100
311121220102120000
43331031323230
5113443121000
610330424300
71434134145
oct375157354
9147812500
1066379500
11345189a0
121a292090
13109a1915
148b5cacc
155c63000
hex3f4deec

66379500 has 240 divisors, whose sum is σ = 237837600. Its totient is φ = 15984000.

The previous prime is 66379447. The next prime is 66379501. The reversal of 66379500 is 597366.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (66379501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 445426 + ... + 445574.

It is an arithmetic number, because the mean of its divisors is an integer number (990990).

Almost surely, 266379500 is an apocalyptic number.

66379500 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 66379500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118918800).

66379500 is an abundant number, since it is smaller than the sum of its proper divisors (171458100).

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

66379500 is a wasteful number, since it uses less digits than its factorization.

66379500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 66379500 is about 8147.3615361048. The cubic root of 66379500 is about 404.8970931961.

The spelling of 66379500 in words is "sixty-six million, three hundred seventy-nine thousand, five hundred".