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66454080 = 26357112931
BaseRepresentation
bin1111110110000…
…0001001000000
311122001012212020
43331200021000
5114003012310
610332201440
71434564450
oct375401100
9148035766
1066454080
1134569a30
121a309280
13109c9854
148b7bd60
155c7a170
hex3f60240

66454080 has 448 divisors, whose sum is σ = 280903680. Its totient is φ = 12902400.

The previous prime is 66454067. The next prime is 66454081. The reversal of 66454080 is 8045466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×664540802 = 8832289497292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66454081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2143665 + ... + 2143695.

Almost surely, 266454080 is an apocalyptic number.

66454080 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 66454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

66454080 is an abundant number, since it is smaller than the sum of its proper divisors (214449600).

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

66454080 is a wasteful number, since it uses less digits than its factorization.

66454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 66454080 is about 8151.9371930848. The cubic root of 66454080 is about 405.0486757530.

The spelling of 66454080 in words is "sixty-six million, four hundred fifty-four thousand, eighty".