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BaseRepresentation
bin100001110000000000000
32002012001000
410032000000
5240342140
635412000
712254154
oct4160000
92065030
101105920
11695992
12454000
132c94ba
1420b064
1516ca30
hex10e000

1105920 has 112 divisors (see below), whose sum is σ = 3931920. Its totient is φ = 294912.

The previous prime is 1105919. The next prime is 1105943. The reversal of 1105920 is 295011.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (2!)6.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1105893 and 1105902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221182 + ... + 221186.

21105920 is an apocalyptic number.

1105920 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 1105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965960).

1105920 is an abundant number, since it is smaller than the sum of its proper divisors (2826000).

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

1105920 is an frugal number, since it uses more digits than its factorization.

1105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1105920 is about 1051.6273104099. The cubic root of 1105920 is about 103.4128651215.

It can be divided in two parts, 1105 and 920, that added together give a square (2025 = 452).

The spelling of 1105920 in words is "one million, one hundred five thousand, nine hundred twenty".