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6130003440 = 24351119122209
BaseRepresentation
bin1011011010110000…
…00110110111110000
3120211012200102212110
411231120012313300
5100023240102230
62452135125320
7304623112101
oct55530066760
916735612773
106130003440
112666255350
121230b13840
13768cb5c92
144221b03a8
1525d2674b0
hex16d606df0

6130003440 has 160 divisors (see below), whose sum is σ = 21821817600. Its totient is φ = 1407836160.

The previous prime is 6130003433. The next prime is 6130003471. The reversal of 6130003440 is 443000316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10945 + ... + 111264.

It is an arithmetic number, because the mean of its divisors is an integer number (136386360).

Almost surely, 26130003440 is an apocalyptic number.

6130003440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6130003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910908800).

6130003440 is an abundant number, since it is smaller than the sum of its proper divisors (15691814160).

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

6130003440 is a wasteful number, since it uses less digits than its factorization.

6130003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122255 (or 122249 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 6130003440 is about 78294.3384926394. The cubic root of 6130003440 is about 1830.1509266665.

Adding to 6130003440 its reverse (443000316), we get a palindrome (6573003756).

The spelling of 6130003440 in words is "six billion, one hundred thirty million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 122209 244418 366627 488836 611045 733254 977672 1222090 1344299 1466508 1833135 1955344 2321971 2444180 2688598 2933016 3666270 4032897 4643942 4888360 5377196 5866032 6721495 6965913 7332540 8065794 9287884 9776720 10754392 11609855 13442990 13931826 14665080 16131588 18575768 20164485 21508784 23219710 25541681 26885980 27863652 29330160 32263176 34829565 37151536 40328970 46439420 51083362 53771960 55727304 64526352 69659130 76625043 80657940 92878840 102166724 107543920 111454608 127708405 139318260 153250086 161315880 185757680 204333448 255416810 278636520 306500172 322631760 383125215 408666896 510833620 557273040 613000344 766250430 1021667240 1226000688 1532500860 2043334480 3065001720 6130003440