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110042420 = 22540113721
BaseRepresentation
bin1101000111100…
…01110100110100
321200001201211012
412203301310310
5211132324140
614530331352
72504226245
oct643616464
9250051735
10110042420
1157130554
1230a29b58
1319a4b777
1410886ccc
1599da265
hex68f1d34

110042420 has 24 divisors (see below), whose sum is σ = 231682248. Its totient is φ = 43904000.

The previous prime is 110042333. The next prime is 110042431. The reversal of 110042420 is 24240011.

It can be written as a sum of positive squares in 4 ways, for example, as 26173456 + 83868964 = 5116^2 + 9158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110042395 and 110042404.

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, 1160 + ... + 14880.

It is an arithmetic number, because the mean of its divisors is an integer number (9653427).

Almost surely, 2110042420 is an apocalyptic number.

110042420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110042420 is an abundant number, since it is smaller than the sum of its proper divisors (121639828).

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

110042420 is a wasteful number, since it uses less digits than its factorization.

110042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14131 (or 14129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 110042420 is about 10490.1105809233. The cubic root of 110042420 is about 479.2035693150.

Adding to 110042420 its reverse (24240011), we get a palindrome (134282431).

The spelling of 110042420 in words is "one hundred ten million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 401 802 1604 2005 4010 8020 13721 27442 54884 68605 137210 274420 5502121 11004242 22008484 27510605 55021210 110042420