Search a number
-
+
3661000660 = 2251725142899
BaseRepresentation
bin1101101000110110…
…0110111111010100
3100110010211002210001
43122031212333110
524444204010120
61403135541044
7156502664212
oct33215467724
910403732701
103661000660
1116095a2a89
1286208a784
1346461a6a5
1426a30bcb2
15166610e0a
hexda366fd4

3661000660 has 48 divisors (see below), whose sum is σ = 8172964800. Its totient is φ = 1372736000.

The previous prime is 3661000639. The next prime is 3661000661. The reversal of 3661000660 is 660001663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661000661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63891 + ... + 106789.

It is an arithmetic number, because the mean of its divisors is an integer number (170270100).

Almost surely, 23661000660 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 3661000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086482400).

3661000660 is an abundant number, since it is smaller than the sum of its proper divisors (4511964140).

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

3661000660 is a wasteful number, since it uses less digits than its factorization.

3661000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43176 (or 43174 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3661000660 is about 60506.2034836098. The cubic root of 3661000660 is about 1541.2269779697.

The spelling of 3661000660 in words is "three billion, six hundred sixty-one million, six hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 251 340 502 1004 1255 2510 4267 5020 8534 17068 21335 42670 42899 85340 85798 171596 214495 428990 729283 857980 1458566 2917132 3646415 7292830 10767649 14585660 21535298 43070596 53838245 107676490 183050033 215352980 366100066 732200132 915250165 1830500330 3661000660