Search a number
-
+
66612364 = 22721322011
BaseRepresentation
bin1111111000011…
…0110010001100
311122100020222121
43332012302030
5114023043424
610335422324
71436124100
oct376066214
9148306877
1066612364
1134667945
121a3849a4
1310a53900
148bbd900
155cabee4
hex3f86c8c

66612364 has 54 divisors (see below), whose sum is σ = 146910204. Its totient is φ = 26339040.

The previous prime is 66612349. The next prime is 66612367. The reversal of 66612364 is 46321666.

It is not an unprimeable number, because it can be changed into a prime (66612367) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32119 + ... + 34129.

Almost surely, 266612364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66612364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73455102).

66612364 is an abundant number, since it is smaller than the sum of its proper divisors (80297840).

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

66612364 is a wasteful number, since it uses less digits than its factorization.

66612364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2033 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 66612364 is about 8161.6397862194. The cubic root of 66612364 is about 405.3700098704.

It can be divided in two parts, 6661 and 2364, that added together give a square (9025 = 952).

The spelling of 66612364 in words is "sixty-six million, six hundred twelve thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2011 2366 2548 4022 4732 8044 8281 14077 16562 26143 28154 33124 52286 56308 98539 104572 183001 197078 339859 366002 394156 679718 732004 1281007 1359436 2379013 2562014 4758026 5124028 9516052 16653091 33306182 66612364