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6001345540 = 225388177317
BaseRepresentation
bin1011001011011010…
…10100010000000100
3120111020120221102001
411211231110100010
544242321024130
62431301355044
7301501411141
oct54555242004
916436527361
106001345540
1125aa66a803
1211b5a08a84
1374844a348
1440d07d3c8
15251d016ca
hex165b54404

6001345540 has 24 divisors (see below), whose sum is σ = 12606235992. Its totient is φ = 2399888640.

The previous prime is 6001345531. The next prime is 6001345547. The reversal of 6001345540 is 455431006.

It can be written as a sum of positive squares in 4 ways, for example, as 1303065604 + 4698279936 = 36098^2 + 68544^2 .

It is a super-2 number, since 2×60013455402 = 72032296580955783200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6001345499 and 6001345508.

It is not an unprimeable number, because it can be changed into a prime (6001345547) 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 7 ways as a sum of consecutive naturals, for example, 38962 + ... + 116278.

It is an arithmetic number, because the mean of its divisors is an integer number (525259833).

Almost surely, 26001345540 is an apocalyptic number.

It is an amenable number.

6001345540 is an abundant number, since it is smaller than the sum of its proper divisors (6604890452).

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

6001345540 is a wasteful number, since it uses less digits than its factorization.

6001345540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81207 (or 81205 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 6001345540 is about 77468.3518606147. The cubic root of 6001345540 is about 1817.2564164819.

Adding to 6001345540 its reverse (455431006), we get a palindrome (6456776546).

It can be divided in two parts, 6001 and 345540, that added together give a triangular number (351541 = T838).

The spelling of 6001345540 in words is "six billion, one million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 3881 7762 15524 19405 38810 77317 77620 154634 309268 386585 773170 1546340 300067277 600134554 1200269108 1500336385 3000672770 6001345540