Search a number
-
+
66134244 = 223112371231
BaseRepresentation
bin1111110001001…
…0000011100100
311121102222010110
43330102003210
5113412243434
610321253020
71432063131
oct374220344
9147388113
1066134244
1134370700
121a194170
13109170b7
148ad7588
155c154e9
hex3f120e4

66134244 has 72 divisors (see below), whose sum is σ = 174342784. Its totient is φ = 19483200.

The previous prime is 66134203. The next prime is 66134249. The reversal of 66134244 is 44243166.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66134249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53109 + ... + 54339.

Almost surely, 266134244 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 66134244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87171392).

66134244 is an abundant number, since it is smaller than the sum of its proper divisors (108208540).

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

66134244 is a wasteful number, since it uses less digits than its factorization.

66134244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1284 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 66134244 is about 8132.2963546590. The cubic root of 66134244 is about 404.3978125759.

The spelling of 66134244 in words is "sixty-six million, one hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1231 1452 1628 2442 2462 3693 4477 4884 4924 7386 8954 13431 13541 14772 17908 26862 27082 40623 45547 53724 54164 81246 91094 136641 148951 162492 182188 273282 297902 446853 501017 546564 595804 893706 1002034 1503051 1787412 2004068 3006102 5511187 6012204 11022374 16533561 22044748 33067122 66134244