Search a number
-
+
5105611560 = 233578637043
BaseRepresentation
bin1001100000101000…
…10111001100101000
3111011211002221101110
410300110113030220
540424014032220
62202342550320
7240343660620
oct46024271450
914154087343
105105611560
11218aa91595
12ba5a383a0
136349b863a
14366113880
151ed368be0
hex130517328

5105611560 has 128 divisors (see below), whose sum is σ = 17527726080. Its totient is φ = 1165479168.

The previous prime is 5105611517. The next prime is 5105611561. The reversal of 5105611560 is 651165015.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5105611561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 721399 + ... + 728441.

It is an arithmetic number, because the mean of its divisors is an integer number (136935360).

Almost surely, 25105611560 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 5105611560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763863040).

5105611560 is an abundant number, since it is smaller than the sum of its proper divisors (12422114520).

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

5105611560 is a wasteful number, since it uses less digits than its factorization.

5105611560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 5105611560 is about 71453.5622624933. The cubic root of 5105611560 is about 1721.9317083858.

Adding to 5105611560 its reverse (651165015), we get a palindrome (5756776575).

The spelling of 5105611560 in words is "five billion, one hundred five million, six hundred eleven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 863 1726 2589 3452 4315 5178 6041 6904 7043 8630 10356 12082 12945 14086 17260 18123 20712 21129 24164 25890 28172 30205 34520 35215 36246 42258 48328 49301 51780 56344 60410 70430 72492 84516 90615 98602 103560 105645 120820 140860 144984 147903 169032 181230 197204 211290 241640 246505 281720 295806 362460 394408 422580 493010 591612 724920 739515 845160 986020 1183224 1479030 1972040 2958060 5916120 6078109 12156218 18234327 24312436 30390545 36468654 42546763 48624872 60781090 72937308 85093526 91171635 121562180 127640289 145874616 170187052 182343270 212733815 243124360 255280578 340374104 364686540 425467630 510561156 638201445 729373080 850935260 1021122312 1276402890 1701870520 2552805780 5105611560