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217140 = 223571147
BaseRepresentation
bin110101000000110100
3102000212020
4311000310
523422030
64353140
71563030
oct650064
9360766
10217140
11139160
12a57b0
1377ab1
14591c0
1544510
hex35034

217140 has 96 divisors (see below), whose sum is σ = 774144. Its totient is φ = 44160.

The previous prime is 217121. The next prime is 217157. The reversal of 217140 is 41712.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 217140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4597 + ... + 4643.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2217140 is an apocalyptic number.

217140 is a gapful number since it is divisible by the number (20) 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 217140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

217140 is an abundant number, since it is smaller than the sum of its proper divisors (557004).

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

217140 is a wasteful number, since it uses less digits than its factorization.

217140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 217140 is about 465.9828323018. The cubic root of 217140 is about 60.1053703985.

Adding to 217140 its reverse (41712), we get a palindrome (258852).

It can be divided in two parts, 2171 and 40, that added together give a triangular number (2211 = T66).

The spelling of 217140 in words is "two hundred seventeen thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 47 55 60 66 70 77 84 94 105 110 132 140 141 154 165 188 210 220 231 235 282 308 329 330 385 420 462 470 517 564 658 660 705 770 924 940 987 1034 1155 1316 1410 1540 1551 1645 1974 2068 2310 2585 2820 3102 3290 3619 3948 4620 4935 5170 6204 6580 7238 7755 9870 10340 10857 14476 15510 18095 19740 21714 31020 36190 43428 54285 72380 108570 217140