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6100805040 = 2435112310911
BaseRepresentation
bin1011010111010001…
…01110010110110000
3120202011202000012020
411223220232112300
544443301230130
62445213231440
7304116662421
oct55350562660
916664660166
106100805040
112650822140
121223192580
13762c31b15
1441c36d648
1525a8eae10
hex16ba2e5b0

6100805040 has 80 divisors (see below), whose sum is σ = 20631822336. Its totient is φ = 1478982400.

The previous prime is 6100805021. The next prime is 6100805047. The reversal of 6100805040 is 405080016.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6100805040.

It is not an unprimeable number, because it can be changed into a prime (6100805047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1152816 + ... + 1158095.

Almost surely, 26100805040 is an apocalyptic number.

6100805040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6100805040 is an abundant number, since it is smaller than the sum of its proper divisors (14531017296).

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

6100805040 is a wasteful number, since it uses less digits than its factorization.

6100805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310938 (or 2310932 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 6100805040 is about 78107.6503295292. The cubic root of 6100805040 is about 1827.2405123987.

Adding to 6100805040 its reverse (405080016), we get a palindrome (6505885056).

The spelling of 6100805040 in words is "six billion, one hundred million, eight hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 2310911 4621822 6932733 9243644 11554555 13865466 18487288 23109110 25420021 27730932 34663665 36974576 46218220 50840042 55461864 69327330 76260063 92436440 101680084 110923728 127100105 138654660 152520126 184872880 203360168 254200210 277309320 305040252 381300315 406720336 508400420 554618640 610080504 762600630 1016800840 1220161008 1525201260 2033601680 3050402520 6100805040