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113145040 = 24531431061
BaseRepresentation
bin1101011111001…
…11010011010000
321212220100211001
412233213103100
5212431120130
615121031344
72542500631
oct657472320
9255810731
10113145040
115895a5a8
1231a85554
131a596a38
1411053888
159dee6ca
hex6be74d0

113145040 has 80 divisors (see below), whose sum is σ = 278125056. Its totient is φ = 42739200.

The previous prime is 113145017. The next prime is 113145041. The reversal of 113145040 is 40541311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113144999 and 113145017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113145041) 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, 106110 + ... + 107170.

Almost surely, 2113145040 is an apocalyptic number.

113145040 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 113145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139062528).

113145040 is an abundant number, since it is smaller than the sum of its proper divisors (164980016).

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

113145040 is a wasteful number, since it uses less digits than its factorization.

113145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 113145040 is about 10636.9657327642. The cubic root of 113145040 is about 483.6655704887.

Adding to 113145040 its reverse (40541311), we get a palindrome (153686351).

The spelling of 113145040 in words is "one hundred thirteen million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 43 62 80 86 124 155 172 215 248 310 344 430 496 620 688 860 1061 1240 1333 1720 2122 2480 2666 3440 4244 5305 5332 6665 8488 10610 10664 13330 16976 21220 21328 26660 32891 42440 45623 53320 65782 84880 91246 106640 131564 164455 182492 228115 263128 328910 364984 456230 526256 657820 729968 912460 1315640 1414313 1824920 2631280 2828626 3649840 5657252 7071565 11314504 14143130 22629008 28286260 56572520 113145040