Search a number
-
+
5104531040 = 255710941813
BaseRepresentation
bin1001100000100000…
…01111011001100000
3111011202002001012012
410300100033121200
540423224443130
62202303452052
7240331540460
oct46020173140
914152061165
105104531040
11218a4137a4
12ba55b7028
136346ca88b
14365d11ba0
151ed203995
hex13040f660

5104531040 has 96 divisors (see below), whose sum is σ = 13909008960. Its totient is φ = 1734027264.

The previous prime is 5104531031. The next prime is 5104531073. The reversal of 5104531040 is 401354015.

It is a junction number, because it is equal to n+sod(n) for n = 5104530997 and 5104531015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101174 + ... + 142986.

It is an arithmetic number, because the mean of its divisors is an integer number (144885510).

Almost surely, 25104531040 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 5104531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954504480).

5104531040 is an abundant number, since it is smaller than the sum of its proper divisors (8804477920).

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

5104531040 is a wasteful number, since it uses less digits than its factorization.

5104531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41944 (or 41936 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5104531040 is about 71446.0008677883. Note that the first 3 decimals coincide. The cubic root of 5104531040 is about 1721.8102268292.

Adding to 5104531040 its reverse (401354015), we get a palindrome (5505885055).

The spelling of 5104531040 in words is "five billion, one hundred four million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 109 112 140 160 218 224 280 436 545 560 763 872 1090 1120 1526 1744 2180 3052 3488 3815 4360 6104 7630 8720 12208 15260 17440 24416 30520 41813 61040 83626 122080 167252 209065 292691 334504 418130 585382 669008 836260 1170764 1338016 1463455 1672520 2341528 2926910 3345040 4557617 4683056 5853820 6690080 9115234 9366112 11707640 18230468 22788085 23415280 31903319 36460936 45576170 46830560 63806638 72921872 91152340 127613276 145843744 159516595 182304680 255226552 319033190 364609360 510453104 638066380 729218720 1020906208 1276132760 2552265520 5104531040