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1106143420 = 2251725712659
BaseRepresentation
bin100000111101110…
…0110100010111100
32212002101220111211
41001323212202330
54231133042140
6301432254204
736261030634
oct10173464274
92762356454
101106143420
11518430a18
1226a541364
13148222045
14a6c9b6c4
156719b2ea
hex41ee68bc

1106143420 has 48 divisors (see below), whose sum is σ = 2469307680. Its totient is φ = 414777344.

The previous prime is 1106143391. The next prime is 1106143421. The reversal of 1106143420 is 243416011.

It is a junction number, because it is equal to n+sod(n) for n = 1106143391 and 1106143400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106143421) 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, 81051 + ... + 93709.

It is an arithmetic number, because the mean of its divisors is an integer number (51443910).

Almost surely, 21106143420 is an apocalyptic number.

1106143420 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 1106143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234653840).

1106143420 is an abundant number, since it is smaller than the sum of its proper divisors (1363164260).

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

1106143420 is a wasteful number, since it uses less digits than its factorization.

1106143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12942 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1106143420 is about 33258.7344918594. The cubic root of 1106143420 is about 1034.1982853860.

Adding to 1106143420 its reverse (243416011), we get a palindrome (1349559431).

The spelling of 1106143420 in words is "one billion, one hundred six million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 257 340 514 1028 1285 2570 4369 5140 8738 12659 17476 21845 25318 43690 50636 63295 87380 126590 215203 253180 430406 860812 1076015 2152030 3253363 4304060 6506726 13013452 16266815 32533630 55307171 65067260 110614342 221228684 276535855 553071710 1106143420