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6300115300 = 2252532934057
BaseRepresentation
bin1011101111000010…
…00010000101100100
3121021001210000110201
411313201002011210
5100400312142200
62521053200244
7312060045043
oct56741020544
917231700421
106300115300
112743283966
121279a90084
1379530719b
1443aa1255a
1526d16ac6a
hex177842164

6300115300 has 72 divisors (see below), whose sum is σ = 13980183336. Its totient is φ = 2463452160.

The previous prime is 6300115271. The next prime is 6300115303. The reversal of 6300115300 is 35110036.

It can be written as a sum of positive squares in 12 ways, for example, as 119639844 + 6180475456 = 10938^2 + 78616^2 .

It is not an unprimeable number, because it can be changed into a prime (6300115303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1550872 + ... + 1554928.

It is an arithmetic number, because the mean of its divisors is an integer number (194169213).

Almost surely, 26300115300 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 6300115300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990091668).

6300115300 is an abundant number, since it is smaller than the sum of its proper divisors (7680068036).

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

6300115300 is a wasteful number, since it uses less digits than its factorization.

6300115300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 6300115300 is about 79373.2656503435. The cubic root of 6300115300 is about 1846.9260175363.

Adding to 6300115300 its reverse (35110036), we get a palindrome (6335225336).

The spelling of 6300115300 in words is "six billion, three hundred million, one hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 293 530 586 1060 1172 1325 1465 2650 2930 4057 5300 5860 7325 8114 14650 15529 16228 20285 29300 31058 40570 62116 77645 81140 101425 155290 202850 215021 310580 388225 405700 430042 776450 860084 1075105 1188701 1552900 2150210 2377402 4300420 4754804 5375525 5943505 10751050 11887010 21502100 23774020 29717525 59435050 63001153 118870100 126002306 252004612 315005765 630011530 1260023060 1575028825 3150057650 6300115300