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4102280 = 235731323
BaseRepresentation
bin1111101001100010001000
321201102021022
433221202020
52022233110
6223532012
746604000
oct17514210
97642238
104102280
112352116
12145a008
13b082b0
1478b000
15560755
hex3e9888

4102280 has 128 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1241856.

The previous prime is 4102249. The next prime is 4102283. The reversal of 4102280 is 822014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178349 + ... + 178371.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

Almost surely, 24102280 is an apocalyptic number.

4102280 is a gapful number since it is divisible by the number (40) 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 4102280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

4102280 is an abundant number, since it is smaller than the sum of its proper divisors (7993720).

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

4102280 is a wasteful number, since it uses less digits than its factorization.

4102280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4102280 is about 2025.4086007520. The cubic root of 4102280 is about 160.0817290785.

Adding to 4102280 its reverse (822014), we get a palindrome (4924294).

The spelling of 4102280 in words is "four million, one hundred two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 49 52 56 65 70 91 92 98 104 115 130 140 161 182 184 196 230 245 260 280 299 322 343 364 392 455 460 490 520 598 637 644 686 728 805 910 920 980 1127 1196 1274 1288 1372 1495 1610 1715 1820 1960 2093 2254 2392 2548 2744 2990 3185 3220 3430 3640 4186 4459 4508 5096 5635 5980 6370 6440 6860 7889 8372 8918 9016 10465 11270 11960 12740 13720 14651 15778 16744 17836 20930 22295 22540 25480 29302 31556 35672 39445 41860 44590 45080 58604 63112 73255 78890 83720 89180 102557 117208 146510 157780 178360 205114 293020 315560 410228 512785 586040 820456 1025570 2051140 4102280