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1106337424 = 241731179733
BaseRepresentation
bin100000111110001…
…0101111010010000
32212002202202122011
41001330111322100
54231210244144
6301440352304
736262466353
oct10174257220
92762682564
101106337424
11518553755
1226a615694
1314828c43a
14a6d0c29a
15671d8a34
hex41f15e90

1106337424 has 80 divisors (see below), whose sum is σ = 2359134720. Its totient is φ = 500336640.

The previous prime is 1106337413. The next prime is 1106337439. The reversal of 1106337424 is 4247336011.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508962 + ... + 1509694.

It is an arithmetic number, because the mean of its divisors is an integer number (29489184).

Almost surely, 21106337424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106337424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179567360).

1106337424 is an abundant number, since it is smaller than the sum of its proper divisors (1252797296).

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

1106337424 is a wasteful number, since it uses less digits than its factorization.

1106337424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1106337424 is about 33261.6509512081. The cubic root of 1106337424 is about 1034.2587437533.

The spelling of 1106337424 in words is "one billion, one hundred six million, three hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 179 248 272 358 496 527 716 733 1054 1432 1466 2108 2864 2932 3043 4216 5549 5864 6086 8432 11098 11728 12172 12461 22196 22723 24344 24922 44392 45446 48688 49844 88784 90892 94333 99688 131207 181784 188666 199376 262414 363568 377332 386291 524828 754664 772582 1049656 1509328 1545164 2099312 2230519 3090328 4067417 4461038 6180656 8134834 8922076 16269668 17844152 32539336 35688304 65078672 69146089 138292178 276584356 553168712 1106337424