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1105940 = 225112457
BaseRepresentation
bin100001110000000010100
32002012001202
410032000110
5240342230
635412032
712254213
oct4160024
92065052
101105940
11695a00
12454018
132c9504
1420b07a
1516ca45
hex10e014

1105940 has 36 divisors (see below), whose sum is σ = 2558388. Its totient is φ = 401280.

The previous prime is 1105919. The next prime is 1105943. The reversal of 1105940 is 495011.

It can be written as a sum of positive squares in 2 ways, for example, as 698896 + 407044 = 836^2 + 638^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2192 + ... + 2648.

21105940 is an apocalyptic number.

1105940 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 1105940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279194).

1105940 is an abundant number, since it is smaller than the sum of its proper divisors (1452448).

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

1105940 is a wasteful number, since it uses less digits than its factorization.

1105940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1105940 is about 1051.6368194391. The cubic root of 1105940 is about 103.4134885074.

The spelling of 1105940 in words is "one million, one hundred five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 457 484 605 914 1210 1828 2285 2420 4570 5027 9140 10054 20108 25135 50270 55297 100540 110594 221188 276485 552970 1105940