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66933780 = 22351497487
BaseRepresentation
bin1111111101010…
…1010000010100
311122221120212220
43333111100110
5114113340110
610350342340
71441633134
oct377252024
9148846786
1066933780
1134867381
121a4ba9b0
1310b36cb4
148c64ac4
155d22370
hex3fd5414

66933780 has 48 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 17726848.

The previous prime is 66933761. The next prime is 66933787. The reversal of 66933780 is 8733966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66933787) 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, 5197 + ... + 12683.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 266933780 is an apocalyptic number.

66933780 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 66933780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

66933780 is an abundant number, since it is smaller than the sum of its proper divisors (121763820).

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

66933780 is a wasteful number, since it uses less digits than its factorization.

66933780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 66933780 is about 8181.3067415909. The cubic root of 66933780 is about 406.0209571231.

The spelling of 66933780 in words is "sixty-six million, nine hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 7487 8940 14974 22461 29948 37435 44922 74870 89844 112305 149740 224610 449220 1115563 2231126 3346689 4462252 5577815 6693378 11155630 13386756 16733445 22311260 33466890 66933780