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66952020 = 22355918913
BaseRepresentation
bin1111111101100…
…1101101010100
311122222111220110
43333121231110
5114114431040
610351003020
71442040252
oct377315524
9148874813
1066952020
113487a053
121a509470
1310b423a5
148c6b5d2
155d27980
hex3fd9b54

66952020 has 48 divisors (see below), whose sum is σ = 190653120. Its totient is φ = 17550336.

The previous prime is 66952007. The next prime is 66952021. The reversal of 66952020 is 2025966.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66952021) 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, 5917 + ... + 12996.

It is an arithmetic number, because the mean of its divisors is an integer number (3971940).

Almost surely, 266952020 is an apocalyptic number.

66952020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66952020 is an abundant number, since it is smaller than the sum of its proper divisors (123701100).

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

66952020 is a wasteful number, since it uses less digits than its factorization.

66952020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18984 (or 18982 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 66952020 is about 8182.4214020056. The cubic root of 66952020 is about 406.0578351123.

Adding to 66952020 its reverse (2025966), we get a palindrome (68977986).

The spelling of 66952020 in words is "sixty-six million, nine hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 18913 37826 56739 75652 94565 113478 189130 226956 283695 378260 567390 1115867 1134780 2231734 3347601 4463468 5579335 6695202 11158670 13390404 16738005 22317340 33476010 66952020