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300013120 = 26511292939
BaseRepresentation
bin10001111000011…
…101011001000000
3202220112020122001
4101320131121000
51103300404440
645434153344
710302032551
oct2170353100
9686466561
10300013120
11144393330
1284582854
134a203a74
142bbb8328
151b512b9a
hex11e1d640

300013120 has 112 divisors (see below), whose sum is σ = 806500800. Its totient is φ = 105297920.

The previous prime is 300013099. The next prime is 300013121. The reversal of 300013120 is 21310003.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 300013097 and 300013106.

It is not an unprimeable number, because it can be changed into a prime (300013121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100611 + ... + 103549.

It is an arithmetic number, because the mean of its divisors is an integer number (7200900).

Almost surely, 2300013120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403250400).

300013120 is an abundant number, since it is smaller than the sum of its proper divisors (506487680).

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

300013120 is a wasteful number, since it uses less digits than its factorization.

300013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 300013120 is about 17320.8868133245. The cubic root of 300013120 is about 669.4427087847.

Adding to 300013120 its reverse (21310003), we get a palindrome (321323123).

The spelling of 300013120 in words is "three hundred million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 145 160 176 220 232 290 319 320 352 440 464 580 638 704 880 928 1160 1276 1595 1760 1856 2320 2552 2939 3190 3520 4640 5104 5878 6380 9280 10208 11756 12760 14695 20416 23512 25520 29390 32329 47024 51040 58780 64658 85231 94048 102080 117560 129316 161645 170462 188096 235120 258632 323290 340924 426155 470240 517264 646580 681848 852310 937541 940480 1034528 1293160 1363696 1704620 1875082 2069056 2586320 2727392 3409240 3750164 4687705 5172640 5454784 6818480 7500328 9375410 10345280 13636960 15000656 18750820 27273920 30001312 37501640 60002624 75003280 150006560 300013120