Search a number
-
+
5056560660 = 22353125110831
BaseRepresentation
bin1001011010110010…
…01111111000010100
3111001101210220012110
410231121033320110
540323434420120
62153431351020
7236210025234
oct45531177024
914041726173
105056560660
112165329958
12b91522470
136277a3238
1435d7c5cc4
151e8dca2e0
hex12d64fe14

5056560660 has 96 divisors (see below), whose sum is σ = 14674673664. Its totient is φ = 1299600000.

The previous prime is 5056560623. The next prime is 5056560673. The reversal of 5056560660 is 660656505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461445 + ... + 472275.

It is an arithmetic number, because the mean of its divisors is an integer number (152861184).

Almost surely, 25056560660 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 5056560660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337336832).

5056560660 is an abundant number, since it is smaller than the sum of its proper divisors (9618113004).

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

5056560660 is a wasteful number, since it uses less digits than its factorization.

5056560660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 5056560660 is about 71109.4976778770. The cubic root of 5056560660 is about 1716.3996099897.

The spelling of 5056560660 in words is "five billion, fifty-six million, five hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 251 310 372 465 502 620 753 930 1004 1255 1506 1860 2510 3012 3765 5020 7530 7781 10831 15060 15562 21662 23343 31124 32493 38905 43324 46686 54155 64986 77810 93372 108310 116715 129972 155620 162465 216620 233430 324930 335761 466860 649860 671522 1007283 1343044 1678805 2014566 2718581 3357610 4029132 5036415 5437162 6715220 8155743 10072830 10874324 13592905 16311486 20145660 27185810 32622972 40778715 54371620 81557430 84276011 163114860 168552022 252828033 337104044 421380055 505656066 842760110 1011312132 1264140165 1685520220 2528280330 5056560660