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1301334540 = 2235119720327
BaseRepresentation
bin100110110010000…
…1100101000001100
310100200200122101120
41031210030220030
510131120201130
6333044040540
744151106152
oct11544145014
93320618346
101301334540
116086299a0
12303993150
131797b454c
14c4b8b3d2
15793a5910
hex4d90ca0c

1301334540 has 96 divisors (see below), whose sum is σ = 4016162304. Its totient is φ = 312207360.

The previous prime is 1301334539. The next prime is 1301334557. The reversal of 1301334540 is 454331031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1301334540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53857 + ... + 74183.

It is an arithmetic number, because the mean of its divisors is an integer number (41835024).

Almost surely, 21301334540 is an apocalyptic number.

1301334540 is a gapful number since it is divisible by the number (10) 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 1301334540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008081152).

1301334540 is an abundant number, since it is smaller than the sum of its proper divisors (2714827764).

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

1301334540 is a wasteful number, since it uses less digits than its factorization.

1301334540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20447 (or 20445 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1301334540 is about 36074.0147474605. The cubic root of 1301334540 is about 1091.7662187894.

Adding to 1301334540 its reverse (454331031), we get a palindrome (1755665571).

The spelling of 1301334540 in words is "one billion, three hundred one million, three hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 10670 12804 16005 20327 21340 32010 40654 60981 64020 81308 101635 121962 203270 223597 243924 304905 406540 447194 609810 670791 894388 1117985 1219620 1341582 1971719 2235970 2683164 3353955 3943438 4471940 5915157 6707910 7886876 9858595 11830314 13415820 19717190 21688909 23660628 29575785 39434380 43377818 59151570 65066727 86755636 108444545 118303140 130133454 216889090 260266908 325333635 433778180 650667270 1301334540