Search a number
-
+
61144074 = 232231131307
BaseRepresentation
bin1110100100111…
…1110000001010
311021001102220100
43221033300022
5111123102244
610022310230
71341500415
oct351176012
9137042810
1061144074
11315724a2
1218588376
13c88a934
148198b7c
15557bb69
hex3a4fc0a

61144074 has 48 divisors (see below), whose sum is σ = 139568832. Its totient is φ = 19307904.

The previous prime is 61144063. The next prime is 61144099. The reversal of 61144074 is 47044116.

61144074 is a `hidden beast` number, since 611 + 4 + 40 + 7 + 4 = 666.

61144074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46129 + ... + 47435.

It is an arithmetic number, because the mean of its divisors is an integer number (2907684).

Almost surely, 261144074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61144074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69784416).

61144074 is an abundant number, since it is smaller than the sum of its proper divisors (78424758).

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

61144074 is a wasteful number, since it uses less digits than its factorization.

61144074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 61144074 is about 7819.4676289374. The cubic root of 61144074 is about 393.9593909721.

The spelling of 61144074 in words is "sixty-one million, one hundred forty-four thousand, seventy-four".

Divisors: 1 2 3 6 9 18 23 46 69 113 138 207 226 339 414 678 1017 1307 2034 2599 2614 3921 5198 7797 7842 11763 15594 23391 23526 30061 46782 60122 90183 147691 180366 270549 295382 443073 541098 886146 1329219 2658438 3396893 6793786 10190679 20381358 30572037 61144074