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1830488 = 231123161
BaseRepresentation
bin110111110111001011000
310102222221212
412332321120
5432033423
6103122252
721362462
oct6767130
93388855
101830488
111040300
12743388
134c123a
14359132
15262578
hex1bee58

1830488 has 48 divisors (see below), whose sum is σ = 3958080. Its totient is φ = 792000.

The previous prime is 1830481. The next prime is 1830511. The reversal of 1830488 is 8840381.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29978 + ... + 30038.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

21830488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979040).

1830488 is an abundant number, since it is smaller than the sum of its proper divisors (2127592).

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

1830488 is a wasteful number, since it uses less digits than its factorization.

1830488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1830488 is about 1352.9552838139. The cubic root of 1830488 is about 122.3269916470.

The spelling of 1830488 in words is "one million, eight hundred thirty thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 22 31 44 61 62 88 121 122 124 242 244 248 341 484 488 671 682 968 1342 1364 1891 2684 2728 3751 3782 5368 7381 7502 7564 14762 15004 15128 20801 29524 30008 41602 59048 83204 166408 228811 457622 915244 1830488