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5120045520 = 24351910111117
BaseRepresentation
bin1001100010010110…
…11011000111010000
3111012211021021001120
410301023123013100
540441212424040
62204020202240
7240610445262
oct46113330720
914184237046
105120045520
11219814aa87
12baa839380
136379a0445
14367dcdb32
151ee76a7d0
hex1312db1d0

5120045520 has 160 divisors (see below), whose sum is σ = 16874455680. Its totient is φ = 1280563200.

The previous prime is 5120045509. The next prime is 5120045521. The reversal of 5120045520 is 255400215.

It is a happy number.

It is a super-2 number, since 2×51200455202 = 52429732253744140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120045521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455002 + ... + 466118.

It is an arithmetic number, because the mean of its divisors is an integer number (105465348).

Almost surely, 25120045520 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 5120045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8437227840).

5120045520 is an abundant number, since it is smaller than the sum of its proper divisors (11754410160).

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

5120045520 is a wasteful number, since it uses less digits than its factorization.

5120045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11253 (or 11247 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 5120045520 is about 71554.4933599561. The cubic root of 5120045520 is about 1723.5528598159.

Adding to 5120045520 its reverse (255400215), we get a palindrome (5375445735).

The spelling of 5120045520 in words is "five billion, one hundred twenty million, forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 101 114 120 152 190 202 228 240 285 303 304 380 404 456 505 570 606 760 808 912 1010 1140 1212 1515 1520 1616 1919 2020 2280 2424 3030 3838 4040 4560 4848 5757 6060 7676 8080 9595 11117 11514 12120 15352 19190 22234 23028 24240 28785 30704 33351 38380 44468 46056 55585 57570 66702 76760 88936 92112 111170 115140 133404 153520 166755 177872 211223 222340 230280 266808 333510 422446 444680 460560 533616 633669 667020 844892 889360 1056115 1122817 1267338 1334040 1689784 2112230 2245634 2534676 2668080 3168345 3368451 3379568 4224460 4491268 5069352 5614085 6336690 6736902 8448920 8982536 10138704 11228170 12673380 13473804 16842255 16897840 17965072 21333523 22456340 25346760 26947608 33684510 42667046 44912680 50693520 53895216 64000569 67369020 85334092 89825360 106667615 128001138 134738040 170668184 213335230 256002276 269476080 320002845 341336368 426670460 512004552 640005690 853340920 1024009104 1280011380 1706681840 2560022760 5120045520