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66121132 = 227111371567
BaseRepresentation
bin1111110000111…
…0110110101100
311121102022010211
43330032312230
5113411334012
610321112204
71432006660
oct374166654
9147368124
1066121132
1134361870
121a188664
131091113c
148ad28a0
155c116a7
hex3f0edac

66121132 has 48 divisors (see below), whose sum is σ = 145410048. Its totient is φ = 25557120.

The previous prime is 66121127. The next prime is 66121169. The reversal of 66121132 is 23112166.

It is a super-2 number, since 2×661211322 = 8744008193922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41413 + ... + 42979.

It is an arithmetic number, because the mean of its divisors is an integer number (3029376).

Almost surely, 266121132 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 66121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705024).

66121132 is an abundant number, since it is smaller than the sum of its proper divisors (79288916).

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

66121132 is a wasteful number, since it uses less digits than its factorization.

66121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1724 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 66121132 is about 8131.4901463385. The cubic root of 66121132 is about 404.3710850479.

Adding to 66121132 its reverse (23112166), we get a palindrome (89233298).

It can be divided in two parts, 6612 and 1132, that added together give a square (7744 = 882).

The spelling of 66121132 in words is "sixty-six million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 137 154 274 308 548 959 1507 1567 1918 3014 3134 3836 6028 6268 10549 10969 17237 21098 21938 34474 42196 43876 68948 120659 214679 241318 429358 482636 858716 1502753 2361469 3005506 4722938 6011012 9445876 16530283 33060566 66121132