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1830180 = 2235114759
BaseRepresentation
bin110111110110100100100
310102222112110
412332310210
5432031210
6103121020
721361542
oct6766444
93388473
101830180
111040050
12743170
134c1061
14358d92
15262420
hex1bed24

1830180 has 96 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 426880.

The previous prime is 1830163. The next prime is 1830181. The reversal of 1830180 is 810381.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830181) 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, 30991 + ... + 31049.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

21830180 is an apocalyptic number.

1830180 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 1830180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

1830180 is an abundant number, since it is smaller than the sum of its proper divisors (3975900).

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

1830180 is a wasteful number, since it uses less digits than its factorization.

1830180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1830180 is about 1352.8414541254. The cubic root of 1830180 is about 122.3201303024.

It can be divided in two parts, 18301 and 80, that added together give a palindrome (18381).

The spelling of 1830180 in words is "one million, eight hundred thirty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 59 60 66 94 110 118 132 141 165 177 188 220 235 236 282 295 330 354 470 517 564 590 649 660 705 708 885 940 1034 1180 1298 1410 1551 1770 1947 2068 2585 2596 2773 2820 3102 3245 3540 3894 5170 5546 6204 6490 7755 7788 8319 9735 10340 11092 12980 13865 15510 16638 19470 27730 30503 31020 33276 38940 41595 55460 61006 83190 91509 122012 152515 166380 183018 305030 366036 457545 610060 915090 1830180