Search a number
-
+
1101920 = 2557197
BaseRepresentation
bin100001101000001100000
32001222112212
410031001200
5240230140
635341252
712236411
oct4150140
92058485
101101920
11692986
12451828
132c7731
14209808
1516b765
hex10d060

1101920 has 48 divisors (see below), whose sum is σ = 2667168. Its totient is φ = 430080.

The previous prime is 1101917. The next prime is 1101929. The reversal of 1101920 is 291011.

It is a junction number, because it is equal to n+sod(n) for n = 1101895 and 1101904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11312 + ... + 11408.

It is an arithmetic number, because the mean of its divisors is an integer number (55566).

21101920 is an apocalyptic number.

1101920 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 1101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333584).

1101920 is an abundant number, since it is smaller than the sum of its proper divisors (1565248).

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

1101920 is an equidigital number, since it uses as much as digits as its factorization.

1101920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1101920 is about 1049.7237731899. The cubic root of 1101920 is about 103.2880365695.

Adding to 1101920 its reverse (291011), we get a palindrome (1392931).

The spelling of 1101920 in words is "one million, one hundred one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 97 142 160 194 284 355 388 485 568 710 776 970 1136 1420 1552 1940 2272 2840 3104 3880 5680 6887 7760 11360 13774 15520 27548 34435 55096 68870 110192 137740 220384 275480 550960 1101920