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66441540 = 223511100669
BaseRepresentation
bin1111110101110…
…1000101000100
311122000120122210
43331131011010
5114002112130
610332023420
71434513054
oct375350504
9148016583
1066441540
1134560570
121a301b70
13109c3c29
148b77564
155c765b0
hex3f5d144

66441540 has 48 divisors (see below), whose sum is σ = 202950720. Its totient is φ = 16106880.

The previous prime is 66441539. The next prime is 66441541. The reversal of 66441540 is 4514466.

It is an interprime number because it is at equal distance from previous prime (66441539) and next prime (66441541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66441498 and 66441507.

It is not an unprimeable number, because it can be changed into a prime (66441541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49675 + ... + 50994.

It is an arithmetic number, because the mean of its divisors is an integer number (4228140).

Almost surely, 266441540 is an apocalyptic number.

66441540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66441540 is an abundant number, since it is smaller than the sum of its proper divisors (136509180).

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

66441540 is a wasteful number, since it uses less digits than its factorization.

66441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100692 (or 100690 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 66441540 is about 8151.1680144627. The cubic root of 66441540 is about 405.0231963547.

The spelling of 66441540 in words is "sixty-six million, four hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 100669 201338 302007 402676 503345 604014 1006690 1107359 1208028 1510035 2013380 2214718 3020070 3322077 4429436 5536795 6040140 6644154 11073590 13288308 16610385 22147180 33220770 66441540