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113013440 = 2651791973
BaseRepresentation
bin1101011110001…
…11001011000000
321212122200021222
412233013023000
5212412412230
615114134212
72541412151
oct657071300
9255580258
10113013440
115887a741
1231a21368
131a54bb77
141101b928
159dc56e5
hex6bc72c0

113013440 has 56 divisors (see below), whose sum is σ = 270753840. Its totient is φ = 44930048.

The previous prime is 113013413. The next prime is 113013443. The reversal of 113013440 is 44310311.

It is not an unprimeable number, because it can be changed into a prime (113013443) 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 7 ways as a sum of consecutive naturals, for example, 56294 + ... + 58266.

It is an arithmetic number, because the mean of its divisors is an integer number (4834890).

Almost surely, 2113013440 is an apocalyptic number.

113013440 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 113013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135376920).

113013440 is an abundant number, since it is smaller than the sum of its proper divisors (157740400).

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

113013440 is a wasteful number, since it uses less digits than its factorization.

113013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 113013440 is about 10630.7779583622. Note that the first 3 decimals coincide. The cubic root of 113013440 is about 483.4779791680.

Adding to 113013440 its reverse (44310311), we get a palindrome (157323751).

It can be divided in two parts, 11301 and 3440, that added together give a palindrome (14741).

The spelling of 113013440 in words is "one hundred thirteen million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 179 320 358 716 895 1432 1790 1973 2864 3580 3946 5728 7160 7892 9865 11456 14320 15784 19730 28640 31568 39460 57280 63136 78920 126272 157840 315680 353167 631360 706334 1412668 1765835 2825336 3531670 5650672 7063340 11301344 14126680 22602688 28253360 56506720 113013440