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110020040 = 23513239199
BaseRepresentation
bin1101000111011…
…00010111001000
321200000121010022
412203230113020
5211131120130
614530040012
72504104064
oct643542710
9250017108
10110020040
1157115759
1230a19008
1319a41520
141087caa4
1599d37e5
hex68ec5c8

110020040 has 64 divisors (see below), whose sum is σ = 278208000. Its totient is φ = 38852352.

The previous prime is 110020003. The next prime is 110020049. The reversal of 110020040 is 40020011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (110020049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7361 + ... + 16559.

It is an arithmetic number, because the mean of its divisors is an integer number (4347000).

Almost surely, 2110020040 is an apocalyptic number.

110020040 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 110020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139104000).

110020040 is an abundant number, since it is smaller than the sum of its proper divisors (168187960).

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

110020040 is a wasteful number, since it uses less digits than its factorization.

110020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 110020040 is about 10489.0438077072. The cubic root of 110020040 is about 479.1710809255.

Adding to 110020040 its reverse (40020011), we get a palindrome (150040051).

The spelling of 110020040 in words is "one hundred ten million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 9199 11960 18398 36796 45995 73592 91990 119587 183980 211577 239174 367960 423154 478348 597935 846308 956696 1057885 1195870 1692616 2115770 2391740 2750501 4231540 4783480 5501002 8463080 11002004 13752505 22004008 27505010 55010020 110020040