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66454020 = 223451719127
BaseRepresentation
bin1111110110000…
…0001000000100
311122001012210000
43331200020010
5114003012040
610332201300
71434564333
oct375401004
9148035700
1066454020
1134569986
121a309230
13109c9809
148b7bd1a
155c7a130
hex3f60204

66454020 has 240 divisors, whose sum is σ = 234178560. Its totient is φ = 15676416.

The previous prime is 66454019. The next prime is 66454027. The reversal of 66454020 is 2045466.

It is a happy number.

It is a super-2 number, since 2×664540202 = 8832273548320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66454027) 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, 523197 + ... + 523323.

It is an arithmetic number, because the mean of its divisors is an integer number (975744).

Almost surely, 266454020 is an apocalyptic number.

66454020 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 66454020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

66454020 is an abundant number, since it is smaller than the sum of its proper divisors (167724540).

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

66454020 is a wasteful number, since it uses less digits than its factorization.

66454020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 66454020 is about 8151.9335129772. The cubic root of 66454020 is about 405.0485538496.

Adding to 66454020 its reverse (2045466), we get a palindrome (68499486).

The spelling of 66454020 in words is "sixty-six million, four hundred fifty-four thousand, twenty".