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299903130 = 232537113797
BaseRepresentation
bin10001111000000…
…010100010011010
3202220022122202100
4101320002202122
51103233400010
645431544230
710301064102
oct2170024232
9686278670
10299903130
1114431872a
128452b076
134a195997
142bb8a202
151b4e02c0
hex11e0289a

299903130 has 96 divisors (see below), whose sum is σ = 808923024. Its totient is φ = 77027328.

The previous prime is 299903059. The next prime is 299903221. The reversal of 299903130 is 31309992.

It can be written as a sum of positive squares in 8 ways, for example, as 97950609 + 201952521 = 9897^2 + 14211^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375892 + ... + 376688.

Almost surely, 2299903130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299903130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404461512).

299903130 is an abundant number, since it is smaller than the sum of its proper divisors (509019894).

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

299903130 is a wasteful number, since it uses less digits than its factorization.

299903130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 299903130 is about 17317.7114538844. The cubic root of 299903130 is about 669.3608890256.

The spelling of 299903130 in words is "two hundred ninety-nine million, nine hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 113 185 222 226 333 339 370 555 565 666 678 797 1017 1110 1130 1594 1665 1695 2034 2391 3330 3390 3985 4181 4782 5085 7173 7970 8362 10170 11955 12543 14346 20905 23910 25086 29489 35865 37629 41810 58978 62715 71730 75258 88467 90061 125430 147445 176934 180122 188145 265401 270183 294890 376290 442335 450305 530802 540366 810549 884670 900610 1327005 1350915 1621098 2654010 2701830 3332257 4052745 6664514 8105490 9996771 16661285 19993542 29990313 33322570 49983855 59980626 99967710 149951565 299903130