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10298340 = 2235513163
BaseRepresentation
bin100111010010…
…001111100100
3201101012200000
4213102033210
510114021330
61004421300
7153351213
oct47221744
921335600
1010298340
1158a4328
123547830
1321975c0
14152107a
15d86560
hex9d23e4

10298340 has 144 divisors (see below), whose sum is σ = 35101248. Its totient is φ = 2519424.

The previous prime is 10298333. The next prime is 10298341. The reversal of 10298340 is 4389201.

10298340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10298341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63099 + ... + 63261.

Almost surely, 210298340 is an apocalyptic number.

10298340 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 10298340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17550624).

10298340 is an abundant number, since it is smaller than the sum of its proper divisors (24802908).

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

10298340 is a wasteful number, since it uses less digits than its factorization.

10298340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10298340 is about 3209.1026783199. The cubic root of 10298340 is about 217.5650221766.

The spelling of 10298340 in words is "ten million, two hundred ninety-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 163 180 195 234 243 260 270 324 326 351 390 405 468 486 489 540 585 652 702 780 810 815 972 978 1053 1170 1215 1404 1467 1620 1630 1755 1956 2106 2119 2340 2430 2445 2934 3159 3260 3510 4212 4238 4401 4860 4890 5265 5868 6318 6357 7020 7335 8476 8802 9780 10530 10595 12636 12714 13203 14670 15795 17604 19071 21060 21190 22005 25428 26406 29340 31590 31785 38142 39609 42380 44010 52812 57213 63180 63570 66015 76284 79218 88020 95355 114426 127140 132030 158436 171639 190710 198045 228852 264060 286065 343278 381420 396090 514917 572130 686556 792180 858195 1029834 1144260 1716390 2059668 2574585 3432780 5149170 10298340