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90012300 = 22352742863
BaseRepresentation
bin1010101110101…
…11101010001100
320021101002122220
411113113222030
5141020343200
612533135340
72142043350
oct527275214
9207332586
1090012300
114689a634
122618a550
1315857721
14bd51460
157d804a0
hex55d7a8c

90012300 has 72 divisors (see below), whose sum is σ = 297647616. Its totient is φ = 20573760.

The previous prime is 90012283. The next prime is 90012301. The reversal of 90012300 is 321009.

It is a Harshad number since it is a multiple of its sum of digits (15).

90012300 is a modest number, since divided by 12300 gives 900 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 90012300.

It is not an unprimeable number, because it can be changed into a prime (90012301) 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, 19332 + ... + 23531.

Almost surely, 290012300 is an apocalyptic number.

It is an amenable number.

90012300 is an abundant number, since it is smaller than the sum of its proper divisors (207635316).

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

90012300 is a wasteful number, since it uses less digits than its factorization.

90012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42887 (or 42880 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 90012300 is about 9487.4812252779. The cubic root of 90012300 is about 448.1608890140.

Adding to 90012300 its reverse (321009), we get a palindrome (90333309).

The spelling of 90012300 in words is "ninety million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 42863 85726 128589 171452 214315 257178 300041 428630 514356 600082 642945 857260 900123 1071575 1200164 1285890 1500205 1800246 2143150 2571780 3000410 3214725 3600492 4286300 4500615 6000820 6429450 7501025 9001230 12858900 15002050 18002460 22503075 30004100 45006150 90012300