Search a number
-
+
1830920 = 235713503
BaseRepresentation
bin110111111000000001000
310110000112212
412333000020
5432042140
6103124252
721363650
oct6770010
93400485
101830920
111040663
12743688
134c14b0
14359360
15262765
hex1bf008

1830920 has 64 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 578304.

The previous prime is 1830911. The next prime is 1830923. The reversal of 1830920 is 290381.

It is not an unprimeable number, because it can be changed into a prime (1830923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3389 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

21830920 is an apocalyptic number.

1830920 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 1830920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

1830920 is an abundant number, since it is smaller than the sum of its proper divisors (3249400).

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

1830920 is a wasteful number, since it uses less digits than its factorization.

1830920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1830920 is about 1353.1149249048. The cubic root of 1830920 is about 122.3366140544.

The spelling of 1830920 in words is "one million, eight hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 503 520 728 910 1006 1820 2012 2515 3521 3640 4024 5030 6539 7042 10060 13078 14084 17605 20120 26156 28168 32695 35210 45773 52312 65390 70420 91546 130780 140840 183092 228865 261560 366184 457730 915460 1830920