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10209240 = 2334523137
BaseRepresentation
bin100110111100…
…011111011000
3201012200110000
4212330133120
510103143430
61002453000
7152530356
oct46743730
921180400
1010209240
115843398
123504160
132165b92
1414da7d6
15d69e60
hex9bc7d8

10209240 has 160 divisors (see below), whose sum is σ = 36067680. Its totient is φ = 2585088.

The previous prime is 10209233. The next prime is 10209281. The reversal of 10209240 is 4290201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74452 + ... + 74588.

It is an arithmetic number, because the mean of its divisors is an integer number (225423).

Almost surely, 210209240 is an apocalyptic number.

10209240 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 10209240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18033840).

10209240 is an abundant number, since it is smaller than the sum of its proper divisors (25858440).

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

10209240 is a wasteful number, since it uses less digits than its factorization.

10209240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10209240 is about 3195.1901351876. The cubic root of 10209240 is about 216.9357550831.

Adding to 10209240 its reverse (4290201), we get a palindrome (14499441).

The spelling of 10209240 in words is "ten million, two hundred nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 137 138 162 180 184 207 216 230 270 274 276 324 345 360 405 411 414 460 540 548 552 621 648 685 690 810 822 828 920 1035 1080 1096 1233 1242 1370 1380 1620 1644 1656 1863 2055 2070 2466 2484 2740 2760 3105 3151 3240 3288 3699 3726 4110 4140 4932 4968 5480 6165 6210 6302 7398 7452 8220 8280 9315 9453 9864 11097 12330 12420 12604 14796 14904 15755 16440 18495 18630 18906 22194 24660 24840 25208 28359 29592 31510 36990 37260 37812 44388 47265 49320 55485 56718 63020 73980 74520 75624 85077 88776 94530 110970 113436 126040 141795 147960 170154 189060 221940 226872 255231 283590 340308 378120 425385 443880 510462 567180 680616 850770 1020924 1134360 1276155 1701540 2041848 2552310 3403080 5104620 10209240