Search a number
-
+
66533676 = 22311618263
BaseRepresentation
bin1111110111001…
…1100100101100
311122012021001020
43331303210230
5114013034201
610334014140
71435345506
oct375634454
9148167036
1066533676
1134613810
121a347350
1310a26b51
148b9cd76
155c93a36
hex3f7392c

66533676 has 48 divisors (see below), whose sum is σ = 172155648. Its totient is φ = 19828800.

The previous prime is 66533671. The next prime is 66533681. The reversal of 66533676 is 67633566.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66533671) and next prime (66533681).

It is not an unprimeable number, because it can be changed into a prime (66533671) 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, 3921 + ... + 12183.

It is an arithmetic number, because the mean of its divisors is an integer number (3586576).

Almost surely, 266533676 is an apocalyptic number.

66533676 is a gapful number since it is divisible by the number (66) 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 66533676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86077824).

66533676 is an abundant number, since it is smaller than the sum of its proper divisors (105621972).

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

66533676 is a wasteful number, since it uses less digits than its factorization.

66533676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8342 (or 8340 counting only the distinct ones).

The product of its digits is 408240, while the sum is 42.

The square root of 66533676 is about 8156.8177618481. The cubic root of 66533676 is about 405.2103281849.

The spelling of 66533676 in words is "sixty-six million, five hundred thirty-three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 8052 8263 16526 24789 33052 49578 90893 99156 181786 272679 363572 504043 545358 1008086 1090716 1512129 2016172 3024258 5544473 6048516 11088946 16633419 22177892 33266838 66533676