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5391583120 = 2457113072851
BaseRepresentation
bin1010000010101110…
…10000011110010000
3111220202012210121201
411001113100132100
542020221124440
62251000200544
7250415462140
oct50127203620
914822183551
105391583120
112317454220
121065769154
1367c014091
143920b4920
1521850619a
hex1415d0790

5391583120 has 160 divisors (see below), whose sum is σ = 15684996096. Its totient is φ = 1674432000.

The previous prime is 5391583117. The next prime is 5391583121. The reversal of 5391583120 is 213851935.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5391583120.

It is not an unprimeable number, because it can be changed into a prime (5391583121) 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, 1889695 + ... + 1892545.

Almost surely, 25391583120 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 5391583120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842498048).

5391583120 is an abundant number, since it is smaller than the sum of its proper divisors (10293412976).

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

5391583120 is a wasteful number, since it uses less digits than its factorization.

5391583120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 5391583120 is about 73427.4003352972. The cubic root of 5391583120 is about 1753.4986464661.

The spelling of 5391583120 in words is "five billion, three hundred ninety-one million, five hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 307 308 385 440 560 614 616 770 880 1228 1232 1535 1540 2149 2456 2851 3070 3080 3377 4298 4912 5702 6140 6160 6754 8596 10745 11404 12280 13508 14255 16885 17192 19957 21490 22808 23639 24560 27016 28510 31361 33770 34384 39914 42980 45616 47278 54032 57020 62722 67540 79828 85960 94556 99785 114040 118195 125444 135080 156805 159656 171920 189112 199570 219527 228080 236390 250888 270160 313610 319312 378224 399140 439054 472780 501776 627220 798280 875257 878108 945560 1097635 1254440 1596560 1750514 1756216 1891120 2195270 2508880 3501028 3512432 4376285 4390540 6126799 7002056 8752570 8781080 9627827 12253598 14004112 17505140 17562160 19255654 24507196 30633995 35010280 38511308 48139135 49014392 61267990 67394789 70020560 77022616 96278270 98028784 122535980 134789578 154045232 192556540 245071960 269579156 336973945 385113080 490143920 539158312 673947890 770226160 1078316624 1347895780 2695791560 5391583120