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1830608 = 24132677
BaseRepresentation
bin110111110111011010000
310110000010022
412332323100
5432034413
6103123012
721363023
oct6767320
93400108
101830608
1110403aa
12743468
134c1300
143591ba
15262608
hex1beed0

1830608 has 30 divisors (see below), whose sum is σ = 3846294. Its totient is φ = 843648.

The previous prime is 1830599. The next prime is 1830613. The reversal of 1830608 is 8060381.

It is a Cunningham number, because it is equal to 13532-1.

It can be written as a sum of positive squares in 3 ways, for example, as 222784 + 1607824 = 472^2 + 1268^2 .

It is a super-2 number, since 2×18306082 = 6702251299328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 5 ways as a sum of consecutive naturals, for example, 2366 + ... + 3042.

21830608 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 1830608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923147).

1830608 is an abundant number, since it is smaller than the sum of its proper divisors (2015686).

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

1830608 is a wasteful number, since it uses less digits than its factorization.

1830608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 692 counting only the distinct ones).

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

The square root of 1830608 is about 1352.9996304508. Note that the first 3 decimals coincide. The cubic root of 1830608 is about 122.3296646898.

Adding to 1830608 its reverse (8060381), we get a palindrome (9890989).

The spelling of 1830608 in words is "one million, eight hundred thirty thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 677 1352 1354 2704 2708 5416 8801 10832 17602 35204 70408 114413 140816 228826 457652 915304 1830608