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5130177240 = 2335163353743
BaseRepresentation
bin1001100011100100…
…00100101011011000
3111020112100000011110
410301302010223120
541001311132430
62205021300320
7241062533646
oct46162045330
914215300143
105130177240
1121a2940101
12bb21046a0
13639b09c46
143694aa196
152005bc7b0
hex131c84ad8

5130177240 has 128 divisors (see below), whose sum is σ = 15549719040. Its totient is φ = 1353977856.

The previous prime is 5130177233. The next prime is 5130177271. The reversal of 5130177240 is 427710315.

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 = 5130177198 and 5130177207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6904309 + ... + 6905051.

It is an arithmetic number, because the mean of its divisors is an integer number (121482180).

Almost surely, 25130177240 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 5130177240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7774859520).

5130177240 is an abundant number, since it is smaller than the sum of its proper divisors (10419541800).

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

5130177240 is a wasteful number, since it uses less digits than its factorization.

5130177240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 5130177240 is about 71625.2556016382. The cubic root of 5130177240 is about 1724.6889857260.

Adding to 5130177240 its reverse (427710315), we get a palindrome (5557887555).

The spelling of 5130177240 in words is "five billion, one hundred thirty million, one hundred seventy-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 353 489 652 706 743 815 978 1059 1304 1412 1486 1630 1765 1956 2118 2229 2445 2824 2972 3260 3530 3715 3912 4236 4458 4890 5295 5944 6520 7060 7430 8472 8916 9780 10590 11145 14120 14860 17832 19560 21180 22290 29720 42360 44580 57539 89160 115078 121109 172617 230156 242218 262279 287695 345234 363327 460312 484436 524558 575390 605545 690468 726654 786837 863085 968872 1049116 1150780 1211090 1311395 1380936 1453308 1573674 1726170 1816635 2098232 2301560 2422180 2622790 2906616 3147348 3452340 3633270 3934185 4844360 5245580 6294696 6904680 7266540 7868370 10491160 14533080 15736740 31473480 42751477 85502954 128254431 171005908 213757385 256508862 342011816 427514770 513017724 641272155 855029540 1026035448 1282544310 1710059080 2565088620 5130177240