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66375420 = 22351106257
BaseRepresentation
bin1111110100110…
…0111011111100
311121220012221220
43331030323330
5113443003140
610330353340
71434116226
oct375147374
9147805856
1066375420
1134515921
121a28b850
131099cac7
148b5b416
155c61bd0
hex3f4cefc

66375420 has 24 divisors (see below), whose sum is σ = 185851344. Its totient is φ = 17700096.

The previous prime is 66375391. The next prime is 66375427. The reversal of 66375420 is 2457366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66375427) 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, 553069 + ... + 553188.

It is an arithmetic number, because the mean of its divisors is an integer number (7743806).

Almost surely, 266375420 is an apocalyptic number.

66375420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66375420 is an abundant number, since it is smaller than the sum of its proper divisors (119475924).

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

66375420 is a wasteful number, since it uses less digits than its factorization.

66375420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106269 (or 1106267 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 66375420 is about 8147.1111444487. Note that the first 4 decimals coincide. The cubic root of 66375420 is about 404.8887973920. Note that the first 3 decimals are identical.

It can be divided in two parts, 66375 and 420, that added together give a triangular number (66795 = T365).

The spelling of 66375420 in words is "sixty-six million, three hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1106257 2212514 3318771 4425028 5531285 6637542 11062570 13275084 16593855 22125140 33187710 66375420