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6040105380 = 223251131491993
BaseRepresentation
bin1011010000000010…
…01011000110100100
3120120221112010220200
411220001023012210
544332231333010
62435204230500
7302452022451
oct55001130644
916527463820
106040105380
11261a533631
12120699b430
1375349b56a
1441428c828
1525540acc0
hex16804b1a4

6040105380 has 144 divisors (see below), whose sum is σ = 18617180400. Its totient is φ = 1584930816.

The previous prime is 6040105373. The next prime is 6040105387. The reversal of 6040105380 is 835010406.

6040105380 is a `hidden beast` number, since 604 + 0 + 1 + 0 + 53 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6040105373) and next prime (6040105387).

It can be written as a sum of positive squares in 8 ways, for example, as 1360724544 + 4679380836 = 36888^2 + 68406^2 .

It is not an unprimeable number, because it can be changed into a prime (6040105387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3029664 + ... + 3031656.

It is an arithmetic number, because the mean of its divisors is an integer number (129285975).

Almost surely, 26040105380 is an apocalyptic number.

6040105380 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 6040105380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308590200).

6040105380 is an abundant number, since it is smaller than the sum of its proper divisors (12577075020).

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

6040105380 is a wasteful number, since it uses less digits than its factorization.

6040105380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6040105380 is about 77718.1148767776. The cubic root of 6040105380 is about 1821.1602893970.

Adding to 6040105380 its reverse (835010406), we get a palindrome (6875115786).

The spelling of 6040105380 in words is "six billion, forty million, one hundred five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 149 180 226 298 339 447 452 565 596 678 745 894 1017 1130 1341 1356 1490 1695 1788 1993 2034 2235 2260 2682 2980 3390 3986 4068 4470 5085 5364 5979 6705 6780 7972 8940 9965 10170 11958 13410 16837 17937 19930 20340 23916 26820 29895 33674 35874 39860 50511 59790 67348 71748 84185 89685 101022 119580 151533 168370 179370 202044 225209 252555 296957 303066 336740 358740 450418 505110 593914 606132 675627 757665 890871 900836 1010220 1126045 1187828 1351254 1484785 1515330 1781742 2026881 2252090 2672613 2702508 2969570 3030660 3378135 3563484 4053762 4454355 4504180 5345226 5939140 6756270 8107524 8908710 10134405 10690452 13363065 13512540 17817420 20268810 26726130 33556141 40537620 53452260 67112282 100668423 134224564 167780705 201336846 302005269 335561410 402673692 503342115 604010538 671122820 1006684230 1208021076 1510026345 2013368460 3020052690 6040105380