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6000104320 = 275710313003
BaseRepresentation
bin1011001011010001…
…00101001110000000
3120111011020212202221
411211220211032000
544242011314240
62431215020424
7301455021340
oct54550451600
916434225687
106000104320
1125a99a2201
1211b550a714
137481043b2
1440cc38d20
15251b58a4a
hex165a25380

6000104320 has 128 divisors (see below), whose sum is σ = 16553571840. Its totient is φ = 2037049344.

The previous prime is 6000104317. The next prime is 6000104333. The reversal of 6000104320 is 234010006.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 6000104294 and 6000104303.

It is a congruent number.

It is an unprimeable number.

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, 454939 + ... + 467941.

It is an arithmetic number, because the mean of its divisors is an integer number (129324780).

Almost surely, 26000104320 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 6000104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276785920).

6000104320 is an abundant number, since it is smaller than the sum of its proper divisors (10553467520).

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

6000104320 is a wasteful number, since it uses less digits than its factorization.

6000104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132 (or 13120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 6000104320 is about 77460.3403039259. The cubic root of 6000104320 is about 1817.1311239945.

Adding to 6000104320 its reverse (234010006), we get a palindrome (6234114326).

The spelling of 6000104320 in words is "six billion, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 103 112 128 140 160 206 224 280 320 412 448 515 560 640 721 824 896 1030 1120 1442 1648 2060 2240 2884 3296 3605 4120 4480 5768 6592 7210 8240 11536 13003 13184 14420 16480 23072 26006 28840 32960 46144 52012 57680 65015 65920 91021 92288 104024 115360 130030 182042 208048 230720 260060 364084 416096 455105 461440 520120 728168 832192 910210 1040240 1339309 1456336 1664384 1820420 2080480 2678618 2912672 3640840 4160960 5357236 5825344 6696545 7281680 8321920 9375163 10714472 11650688 13393090 14563360 18750326 21428944 26786180 29126720 37500652 42857888 46875815 53572360 58253440 75001304 85715776 93751630 107144720 150002608 171431552 187503260 214289440 300005216 375006520 428578880 600010432 750013040 857157760 1200020864 1500026080 3000052160 6000104320