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66042420 = 22357913933
BaseRepresentation
bin1111101111101…
…1101000110100
311121021022011120
43323323220310
5113401324140
610315303540
71431231333
oct373735064
9147238146
1066042420
1134308714
121a14abb0
13108b4372
148ab1d1a
155be81d0
hex3efba34

66042420 has 48 divisors (see below), whose sum is σ = 187272960. Its totient is φ = 17387136.

The previous prime is 66042419. The next prime is 66042421. The reversal of 66042420 is 2424066.

It is an interprime number because it is at equal distance from previous prime (66042419) and next prime (66042421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66042421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227 + ... + 11706.

It is an arithmetic number, because the mean of its divisors is an integer number (3901520).

Almost surely, 266042420 is an apocalyptic number.

66042420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66042420 is an abundant number, since it is smaller than the sum of its proper divisors (121230540).

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

66042420 is a wasteful number, since it uses less digits than its factorization.

66042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14024 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66042420 is about 8126.6487557910. The cubic root of 66042420 is about 404.2105640255.

Adding to 66042420 its reverse (2424066), we get a palindrome (68466486).

The spelling of 66042420 in words is "sixty-six million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 13933 27866 41799 55732 69665 83598 139330 167196 208995 278660 417990 835980 1100707 2201414 3302121 4402828 5503535 6604242 11007070 13208484 16510605 22014140 33021210 66042420