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5308142080 = 29541103491
BaseRepresentation
bin1001111000110001…
…11101001000000000
3111200221012120000211
410330120331020000
541332341021310
62234415523504
7245353314613
oct47430751000
914627176024
105308142080
11228434278a
121041829594
1366794a697
14384d9417a
15211022c8a
hex13c63d200

5308142080 has 160 divisors (see below), whose sum is σ = 13190905728. Its totient is φ = 2047180800.

The previous prime is 5308142057. The next prime is 5308142083. The reversal of 5308142080 is 802418035.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (5308142083) 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 15 ways as a sum of consecutive naturals, for example, 10810635 + ... + 10811125.

Almost surely, 25308142080 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 5308142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595452864).

5308142080 is an abundant number, since it is smaller than the sum of its proper divisors (7882763648).

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

5308142080 is a wasteful number, since it uses less digits than its factorization.

5308142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5308142080 is about 72856.9974676420. The cubic root of 5308142080 is about 1744.4057636794.

The spelling of 5308142080 in words is "five billion, three hundred eight million, one hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 103 128 160 164 205 206 256 320 328 410 412 491 512 515 640 656 820 824 982 1030 1280 1312 1640 1648 1964 2060 2455 2560 2624 3280 3296 3928 4120 4223 4910 5248 6560 6592 7856 8240 8446 9820 10496 13120 13184 15712 16480 16892 19640 20131 20992 21115 26240 26368 31424 32960 33784 39280 40262 42230 50573 52480 52736 62848 65920 67568 78560 80524 84460 100655 101146 104960 125696 131840 135136 157120 161048 168920 201310 202292 251392 252865 263680 270272 314240 322096 337840 402620 404584 505730 540544 628480 644192 675680 805240 809168 1011460 1081088 1256960 1288384 1351360 1610480 1618336 2022920 2073493 2162176 2576768 2702720 3220960 3236672 4045840 4146986 5153536 5405440 6441920 6473344 8091680 8293972 10307072 10367465 10810880 12883840 12946688 16183360 16587944 20734930 25767680 25893376 32366720 33175888 41469860 51535360 64733440 66351776 82939720 129466880 132703552 165879440 265407104 331758880 530814208 663517760 1061628416 1327035520 2654071040 5308142080