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10302240 = 2535132127
BaseRepresentation
bin100111010011…
…001100100000
3201101102000110
4213103030200
510114132430
61004451320
7153365454
oct47231440
921342013
1010302240
1158a7253
123549b40
132199300
141522664
15d877b0
hex9d3320

10302240 has 144 divisors (see below), whose sum is σ = 35417088. Its totient is φ = 2515968.

The previous prime is 10302217. The next prime is 10302269. The reversal of 10302240 is 4220301.

It is a super-2 number, since 2×103022402 = 212272298035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81057 + ... + 81183.

It is an arithmetic number, because the mean of its divisors is an integer number (245952).

Almost surely, 210302240 is an apocalyptic number.

10302240 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 10302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708544).

10302240 is an abundant number, since it is smaller than the sum of its proper divisors (25114848).

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

10302240 is a wasteful number, since it uses less digits than its factorization.

10302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10302240 is about 3209.7102672983. The cubic root of 10302240 is about 217.5924827997.

Adding to 10302240 its reverse (4220301), we get a palindrome (14522541).

The spelling of 10302240 in words is "ten million, three hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 127 130 156 160 169 195 208 240 254 260 312 338 381 390 416 480 507 508 520 624 635 676 762 780 845 1014 1016 1040 1248 1270 1352 1524 1560 1651 1690 1905 2028 2032 2080 2535 2540 2704 3048 3120 3302 3380 3810 4056 4064 4953 5070 5080 5408 6096 6240 6604 6760 7620 8112 8255 9906 10140 10160 12192 13208 13520 15240 16224 16510 19812 20280 20320 21463 24765 26416 27040 30480 33020 39624 40560 42926 49530 52832 60960 64389 66040 79248 81120 85852 99060 107315 128778 132080 158496 171704 198120 214630 257556 264160 321945 343408 396240 429260 515112 643890 686816 792480 858520 1030224 1287780 1717040 2060448 2575560 3434080 5151120 10302240