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10298000 = 245319271
BaseRepresentation
bin100111010010…
…001010010000
3201101012012102
4213102022100
510114014000
61004415532
7153350216
oct47221220
921335172
1010298000
1158a4049
1235475a8
1321973bb
141520cb6
15d863d5
hex9d2290

10298000 has 80 divisors (see below), whose sum is σ = 26307840. Its totient is φ = 3888000.

The previous prime is 10297999. The next prime is 10298003. The reversal of 10298000 is 89201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10298003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37865 + ... + 38135.

It is an arithmetic number, because the mean of its divisors is an integer number (328848).

Almost surely, 210298000 is an apocalyptic number.

10298000 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 10298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153920).

10298000 is an abundant number, since it is smaller than the sum of its proper divisors (16009840).

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

10298000 is a wasteful number, since it uses less digits than its factorization.

10298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10298000 is about 3209.0497035727. The cubic root of 10298000 is about 217.5626278451.

The spelling of 10298000 in words is "ten million, two hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 271 304 380 400 475 500 542 760 950 1000 1084 1355 1520 1900 2000 2168 2375 2710 3800 4336 4750 5149 5420 6775 7600 9500 10298 10840 13550 19000 20596 21680 25745 27100 33875 38000 41192 51490 54200 67750 82384 102980 108400 128725 135500 205960 257450 271000 411920 514900 542000 643625 1029800 1287250 2059600 2574500 5149000 10298000