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146300300 = 225217412099
BaseRepresentation
bin10001011100001…
…01110110001100
3101012021211021122
420232011312030
5244423102200
622303420112
73424350326
oct1056056614
9335254248
10146300300
1175645643
1240bb4638
1324404c33
1415604616
15cc9d385
hex8b85d8c

146300300 has 72 divisors (see below), whose sum is σ = 344509200. Its totient is φ = 53708800.

The previous prime is 146300281. The next prime is 146300311. The reversal of 146300300 is 3003641.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68651 + ... + 70749.

It is an arithmetic number, because the mean of its divisors is an integer number (4784850).

Almost surely, 2146300300 is an apocalyptic number.

146300300 is a gapful number since it is divisible by the number (10) 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 146300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172254600).

146300300 is an abundant number, since it is smaller than the sum of its proper divisors (198208900).

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

146300300 is a wasteful number, since it uses less digits than its factorization.

146300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 146300300 is about 12095.4660927142. The cubic root of 146300300 is about 526.9245163357.

Adding to 146300300 its reverse (3003641), we get a palindrome (149303941).

The spelling of 146300300 in words is "one hundred forty-six million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 340 410 425 697 820 850 1025 1394 1700 2050 2099 2788 3485 4100 4198 6970 8396 10495 13940 17425 20990 34850 35683 41980 52475 69700 71366 86059 104950 142732 172118 178415 209900 344236 356830 430295 713660 860590 892075 1463003 1721180 1784150 2151475 2926006 3568300 4302950 5852012 7315015 8605900 14630030 29260060 36575075 73150150 146300300