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2174130 = 2325721729
BaseRepresentation
bin1000010010110010110010
311002110100100
420102302302
51024033010
6114333230
724323400
oct10226262
94073310
102174130
111255502
1288a216
135b178a
14408470
152ce2c0
hex212cb2

2174130 has 144 divisors (see below), whose sum is σ = 7202520. Its totient is φ = 451584.

The previous prime is 2174119. The next prime is 2174131. The reversal of 2174130 is 314712.

It can be written as a sum of positive squares in 4 ways, for example, as 1979649 + 194481 = 1407^2 + 441^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2174131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74956 + ... + 74984.

22174130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2174130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601260).

2174130 is an abundant number, since it is smaller than the sum of its proper divisors (5028390).

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

2174130 is a wasteful number, since it uses less digits than its factorization.

2174130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2174130 is about 1474.4931332495. The cubic root of 2174130 is about 129.5473408606.

Adding to 2174130 its reverse (314712), we get a palindrome (2488842).

It can be divided in two parts, 2174 and 130, that added together give a square (2304 = 482).

The spelling of 2174130 in words is "two million, one hundred seventy-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 29 30 34 35 42 45 49 51 58 63 70 85 87 90 98 102 105 119 126 145 147 153 170 174 203 210 238 245 255 261 290 294 306 315 357 406 435 441 490 493 510 522 595 609 630 714 735 765 833 870 882 986 1015 1071 1190 1218 1305 1421 1470 1479 1530 1666 1785 1827 2030 2142 2205 2465 2499 2610 2842 2958 3045 3451 3570 3654 4165 4263 4410 4437 4930 4998 5355 6090 6902 7105 7395 7497 8330 8526 8874 9135 10353 10710 12495 12789 14210 14790 14994 17255 18270 20706 21315 22185 24157 24990 25578 31059 34510 37485 42630 44370 48314 51765 62118 63945 72471 74970 103530 120785 127890 144942 155295 217413 241570 310590 362355 434826 724710 1087065 2174130