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1105944 = 233729227
BaseRepresentation
bin100001110000000011000
32002012001220
410032000120
5240342234
635412040
712254220
oct4160030
92065056
101105944
11695a04
12454020
132c9508
1420b080
1516ca49
hex10e018

1105944 has 64 divisors (see below), whose sum is σ = 3283200. Its totient is φ = 303744.

The previous prime is 1105943. The next prime is 1105961. The reversal of 1105944 is 4495011.

It is a super-2 number, since 2×11059442 = 2446224262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 4759 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

21105944 is an apocalyptic number.

1105944 is a gapful number since it is divisible by the number (14) 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 1105944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641600).

1105944 is an abundant number, since it is smaller than the sum of its proper divisors (2177256).

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

1105944 is a wasteful number, since it uses less digits than its factorization.

1105944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1105944 is about 1051.6387212346. The cubic root of 1105944 is about 103.4136131837.

The spelling of 1105944 in words is "one million, one hundred five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 227 232 348 406 454 609 681 696 812 908 1218 1362 1589 1624 1816 2436 2724 3178 4767 4872 5448 6356 6583 9534 12712 13166 19068 19749 26332 38136 39498 46081 52664 78996 92162 138243 157992 184324 276486 368648 552972 1105944