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110427440 = 2454347683
BaseRepresentation
bin1101001010011…
…11110100110000
321200210021222012
412211033310300
5211232134230
614542502052
72510421614
oct645176460
9250707865
10110427440
1157373852
1230b94928
1319b54aa6
1410947344
159a64395
hex694fd30

110427440 has 80 divisors (see below), whose sum is σ = 268697088. Its totient is φ = 42163968.

The previous prime is 110427437. The next prime is 110427463. The reversal of 110427440 is 44724011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 161339 + ... + 162021.

Almost surely, 2110427440 is an apocalyptic number.

110427440 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 110427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134348544).

110427440 is an abundant number, since it is smaller than the sum of its proper divisors (158269648).

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

110427440 is a wasteful number, since it uses less digits than its factorization.

110427440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 110427440 is about 10508.4461268068. The cubic root of 110427440 is about 479.7618031122.

The spelling of 110427440 in words is "one hundred ten million, four hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 47 80 86 94 172 188 215 235 344 376 430 470 683 688 752 860 940 1366 1720 1880 2021 2732 3415 3440 3760 4042 5464 6830 8084 10105 10928 13660 16168 20210 27320 29369 32101 32336 40420 54640 58738 64202 80840 117476 128404 146845 160505 161680 234952 256808 293690 321010 469904 513616 587380 642020 1174760 1284040 1380343 2349520 2568080 2760686 5521372 6901715 11042744 13803430 22085488 27606860 55213720 110427440