Search a number
-
+
61640080 = 245291632
BaseRepresentation
bin1110101100100…
…0110110010000
311021222122021221
43223020312100
5111234440310
610041054424
71345634455
oct353106620
9137878257
1061640080
1131881117
1218787414
13ca02628
14828782c
155628ada
hex3ac8d90

61640080 has 60 divisors (see below), whose sum is σ = 149170140. Its totient is φ = 23659776.

The previous prime is 61640071. The next prime is 61640083. The reversal of 61640080 is 8004616.

It can be written as a sum of positive squares in 2 ways, for example, as 27206656 + 34433424 = 5216^2 + 5868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61640083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378079 + ... + 378241.

It is an arithmetic number, because the mean of its divisors is an integer number (2486169).

Almost surely, 261640080 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 61640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74585070).

61640080 is an abundant number, since it is smaller than the sum of its proper divisors (87530060).

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

61640080 is a wasteful number, since it uses less digits than its factorization.

61640080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 61640080 is about 7851.1196653726. The cubic root of 61640080 is about 395.0218008584.

Adding to 61640080 its reverse (8004616), we get a palindrome (69644696).

The spelling of 61640080 in words is "sixty-one million, six hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 163 232 290 326 464 580 652 815 1160 1304 1630 2320 2608 3260 4727 6520 9454 13040 18908 23635 26569 37816 47270 53138 75632 94540 106276 132845 189080 212552 265690 378160 425104 531380 770501 1062760 1541002 2125520 3082004 3852505 6164008 7705010 12328016 15410020 30820040 61640080