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5187220140 = 2235299293209
BaseRepresentation
bin1001101010010111…
…01011001010101100
3111101111200002022110
410311023223022230
541110412021030
62214420044020
7242354433534
oct46513531254
914344602273
105187220140
1122220612a3
121009233610
1364888cc3b
14372cb84c4
152055d91b0
hex1352eb2ac

5187220140 has 96 divisors (see below), whose sum is σ = 15045912000. Its totient is φ = 1333706752.

The previous prime is 5187220133. The next prime is 5187220141. The reversal of 5187220140 is 410227815.

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

It is a junction number, because it is equal to n+sod(n) for n = 5187220098 and 5187220107.

It is not an unprimeable number, because it can be changed into a prime (5187220141) by changing a digit.

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, 1614856 + ... + 1618064.

It is an arithmetic number, because the mean of its divisors is an integer number (156728250).

Almost surely, 25187220140 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 5187220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522956000).

5187220140 is an abundant number, since it is smaller than the sum of its proper divisors (9858691860).

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

5187220140 is a wasteful number, since it uses less digits than its factorization.

5187220140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5187220140 is about 72022.3586117533. The cubic root of 5187220140 is about 1731.0577624740.

Adding to 5187220140 its reverse (410227815), we get a palindrome (5597447955).

The spelling of 5187220140 in words is "five billion, one hundred eighty-seven million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 929 1740 1858 2787 3209 3716 4645 5574 6418 9290 9627 11148 12836 13935 16045 18580 19254 26941 27870 32090 38508 48135 53882 55740 64180 80823 93061 96270 107764 134705 161646 186122 192540 269410 279183 323292 372244 404115 465305 538820 558366 808230 930610 1116732 1395915 1616460 1861220 2791830 2981161 5583660 5962322 8943483 11924644 14905805 17886966 29811610 35773932 44717415 59623220 86453669 89434830 172907338 178869660 259361007 345814676 432268345 518722014 864536690 1037444028 1296805035 1729073380 2593610070 5187220140