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299709420 = 2235192101137
BaseRepresentation
bin10001110111010…
…011001111101100
3202212221211000220
4101313103033230
51103211200140
645423451340
710266326253
oct2167231754
9685854026
10299709420
111441a613a
1284456b50
134a12876a
142bb3979a
151b4a2bd0
hex11dd33ec

299709420 has 144 divisors (see below), whose sum is σ = 900976608. Its totient is φ = 74419200.

The previous prime is 299709419. The next prime is 299709427. The reversal of 299709420 is 24907992.

It is not an unprimeable number, because it can be changed into a prime (299709427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2187592 + ... + 2187728.

It is an arithmetic number, because the mean of its divisors is an integer number (6256782).

Almost surely, 2299709420 is an apocalyptic number.

299709420 is a gapful number since it is divisible by the number (20) 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 299709420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450488304).

299709420 is an abundant number, since it is smaller than the sum of its proper divisors (601267188).

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

299709420 is a wasteful number, since it uses less digits than its factorization.

299709420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 299709420 is about 17312.1177214112. The cubic root of 299709420 is about 669.2167426758.

The spelling of 299709420 in words is "two hundred ninety-nine million, seven hundred nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 101 114 137 190 202 228 274 285 303 361 380 404 411 505 548 570 606 685 722 822 1010 1083 1140 1212 1370 1444 1515 1644 1805 1919 2020 2055 2166 2603 2740 3030 3610 3838 4110 4332 5206 5415 5757 6060 7220 7676 7809 8220 9595 10412 10830 11514 13015 13837 15618 19190 21660 23028 26030 27674 28785 31236 36461 38380 39045 41511 49457 52060 55348 57570 69185 72922 78090 83022 98914 109383 115140 138370 145844 148371 156180 166044 182305 197828 207555 218766 247285 262903 276740 296742 364610 415110 437532 494570 525806 546915 593484 729220 741855 788709 830220 989140 1051612 1093830 1314515 1483710 1577418 2187660 2629030 2967420 3154836 3943545 4995157 5258060 7887090 9990314 14985471 15774180 19980628 24975785 29970942 49951570 59941884 74927355 99903140 149854710 299709420