Search a number
-
+
61632740 = 225132231063
BaseRepresentation
bin1110101100011…
…1000011100100
311021222021020002
43223013003210
5111234221430
610041000432
71345604201
oct353070344
9137867202
1061632740
1131876654
1218783118
13c9cc1a0
148284ca8
155626845
hex3ac70e4

61632740 has 48 divisors (see below), whose sum is σ = 140141568. Its totient is φ = 22633344.

The previous prime is 61632721. The next prime is 61632773. The reversal of 61632740 is 4723616.

61632740 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 15 ways as a sum of consecutive naturals, for example, 57449 + ... + 58511.

It is an arithmetic number, because the mean of its divisors is an integer number (2919616).

Almost surely, 261632740 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 61632740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70070784).

61632740 is an abundant number, since it is smaller than the sum of its proper divisors (78508828).

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

61632740 is a wasteful number, since it uses less digits than its factorization.

61632740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 61632740 is about 7850.6522022059. The cubic root of 61632740 is about 395.0061207191.

The spelling of 61632740 in words is "sixty-one million, six hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 223 260 446 892 1063 1115 2126 2230 2899 4252 4460 5315 5798 10630 11596 13819 14495 21260 27638 28990 55276 57980 69095 138190 237049 276380 474098 948196 1185245 2370490 3081637 4740980 6163274 12326548 15408185 30816370 61632740