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300157000 = 235311132099
BaseRepresentation
bin10001111001000…
…000100001001000
3202220210112222221
4101321000201020
51103320011000
645441223424
710303202203
oct2171004110
9686715887
10300157000
11144481440
1284631b74
134a2543c0
142bc1493a
151b54061a
hex11e40848

300157000 has 128 divisors (see below), whose sum is σ = 825552000. Its totient is φ = 100704000.

The previous prime is 300156979. The next prime is 300157001. The reversal of 300157000 is 751003.

It is not an unprimeable number, because it can be changed into a prime (300157001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141951 + ... + 144049.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2300157000 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 300157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412776000).

300157000 is an abundant number, since it is smaller than the sum of its proper divisors (525395000).

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

300157000 is a wasteful number, since it uses less digits than its factorization.

300157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 300157000 is about 17325.0396824942. The cubic root of 300157000 is about 669.5497085757.

The spelling of 300157000 in words is "three hundred million, one hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 125 130 143 200 220 250 260 275 286 325 440 500 520 550 572 650 715 1000 1100 1144 1300 1375 1430 1625 2099 2200 2600 2750 2860 3250 3575 4198 5500 5720 6500 7150 8396 10495 11000 13000 14300 16792 17875 20990 23089 27287 28600 35750 41980 46178 52475 54574 71500 83960 92356 104950 109148 115445 136435 143000 184712 209900 218296 230890 262375 272870 300157 419800 461780 524750 545740 577225 600314 682175 923560 1049500 1091480 1154450 1200628 1364350 1500785 2099000 2308900 2401256 2728700 2886125 3001570 3410875 4617800 5457400 5772250 6003140 6821750 7503925 11544500 12006280 13643500 15007850 23089000 27287000 30015700 37519625 60031400 75039250 150078500 300157000