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1830680 = 23545767
BaseRepresentation
bin110111110111100011000
310110000012222
412332330120
5432040210
6103123212
721363155
oct6767430
93400188
101830680
111040465
12743508
134c1357
1435922c
15262655
hex1bef18

1830680 has 16 divisors (see below), whose sum is σ = 4119120. Its totient is φ = 732256.

The previous prime is 1830677. The next prime is 1830701. The reversal of 1830680 is 860381.

1830680 = 1102 + 1112 + ... + 1892.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 22844 + ... + 22923.

It is an arithmetic number, because the mean of its divisors is an integer number (257445).

21830680 is an apocalyptic number.

1830680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1830680 is an abundant number, since it is smaller than the sum of its proper divisors (2288440).

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

1830680 is a wasteful number, since it uses less digits than its factorization.

1830680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45778 (or 45774 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1830680 is about 1353.0262377352. The cubic root of 1830680 is about 122.3312684594.

Subtracting from 1830680 its reverse (860381), we obtain a cube (970299 = 993).

The spelling of 1830680 in words is "one million, eight hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 45767 91534 183068 228835 366136 457670 915340 1830680