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214890 = 235131929
BaseRepresentation
bin110100011101101010
3101220202220
4310131222
523334030
64334510
71553334
oct643552
9356686
10214890
111374a5
12a4436
1376a70
1458454
1543a10
hex3476a

214890 has 64 divisors (see below), whose sum is σ = 604800. Its totient is φ = 48384.

The previous prime is 214883. The next prime is 214891. The reversal of 214890 is 98412.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 214890.

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 214890.

It is not an unprimeable number, because it can be changed into a prime (214891) by changing a digit.

214890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7396 + ... + 7424.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2214890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

214890 is an abundant number, since it is smaller than the sum of its proper divisors (389910).

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

214890 is a wasteful number, since it uses less digits than its factorization.

214890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 214890 is about 463.5622935486. The cubic root of 214890 is about 59.8970456633.

The spelling of 214890 in words is "two hundred fourteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 29 30 38 39 57 58 65 78 87 95 114 130 145 174 190 195 247 285 290 377 390 435 494 551 570 741 754 870 1102 1131 1235 1482 1653 1885 2262 2470 2755 3306 3705 3770 5510 5655 7163 7410 8265 11310 14326 16530 21489 35815 42978 71630 107445 214890