Search a number
-
+
1855332 = 223341419
BaseRepresentation
bin111000100111101100100
310111021001000
413010331210
5433332312
6103433300
721525063
oct7047544
93437030
101855332
111057a36
12755830
134cc63b
143641da
15269adc
hex1c4f64

1855332 has 48 divisors (see below), whose sum is σ = 4939200. Its totient is φ = 601920.

The previous prime is 1855327. The next prime is 1855349. The reversal of 1855332 is 2335581.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1855296 and 1855305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4219 + ... + 4637.

It is an arithmetic number, because the mean of its divisors is an integer number (102900).

21855332 is an apocalyptic number.

1855332 is a gapful number since it is divisible by the number (12) 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 1855332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469600).

1855332 is an abundant number, since it is smaller than the sum of its proper divisors (3083868).

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

1855332 is a wasteful number, since it uses less digits than its factorization.

1855332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 1855332 is about 1362.1057227690. The cubic root of 1855332 is about 122.8779276689.

Subtracting 1855332 from its reverse (2335581), we obtain a square (480249 = 6932).

It can be divided in two parts, 1855 and 332, that added together give a 7-th power (2187 = 37).

The spelling of 1855332 in words is "one million, eight hundred fifty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 419 492 738 838 1107 1257 1476 1676 2214 2514 3771 4428 5028 7542 11313 15084 17179 22626 34358 45252 51537 68716 103074 154611 206148 309222 463833 618444 927666 1855332