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66464040 = 2335553867
BaseRepresentation
bin1111110110001…
…0100100101000
311122001201112010
43331202210220
5114003322130
610332315520
71434635466
oct375424450
9148051463
1066464040
1134576465
121a312ba0
1310a01246
148b81836
155c7d0b0
hex3f62928

66464040 has 32 divisors (see below), whose sum is σ = 199392480. Its totient is φ = 17723712.

The previous prime is 66464039. The next prime is 66464051. The reversal of 66464040 is 4046466.

66464040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×664640402 = 8834937226243200, which contains 22 as substring.

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 = 66463989 and 66464007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276814 + ... + 277053.

It is an arithmetic number, because the mean of its divisors is an integer number (6231015).

Almost surely, 266464040 is an apocalyptic number.

66464040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66464040 is an abundant number, since it is smaller than the sum of its proper divisors (132928440).

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

66464040 is a wasteful number, since it uses less digits than its factorization.

66464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553881 (or 553877 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 66464040 is about 8152.5480679356. The cubic root of 66464040 is about 405.0689106946.

The spelling of 66464040 in words is "sixty-six million, four hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 553867 1107734 1661601 2215468 2769335 3323202 4430936 5538670 6646404 8308005 11077340 13292808 16616010 22154680 33232020 66464040