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43113140 = 22572293741
BaseRepresentation
bin1010010001110…
…1101010110100
310000010101002222
42210131222310
542014110030
64140021512
71032312200
oct244355264
9100111088
1043113140
11223775a4
1212531898
138c16845
145a23b00
153bb93e5
hex291dab4

43113140 has 144 divisors (see below), whose sum is σ = 114624720. Its totient is φ = 13547520.

The previous prime is 43113137. The next prime is 43113149. The reversal of 43113140 is 4131134.

43113140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 550564 + 42562576 = 742^2 + 6524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43113149) 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 47 ways as a sum of consecutive naturals, for example, 1051520 + ... + 1051560.

It is an arithmetic number, because the mean of its divisors is an integer number (796005).

Almost surely, 243113140 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 43113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57312360).

43113140 is an abundant number, since it is smaller than the sum of its proper divisors (71511580).

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

43113140 is a wasteful number, since it uses less digits than its factorization.

43113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

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

The square root of 43113140 is about 6566.0597012211. The cubic root of 43113140 is about 350.6468039626.

Adding to 43113140 its reverse (4131134), we get a palindrome (47244274).

The spelling of 43113140 in words is "forty-three million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 37 41 49 58 70 74 82 98 116 140 145 148 164 185 196 203 205 245 259 287 290 370 406 410 490 518 574 580 740 812 820 980 1015 1036 1073 1148 1189 1295 1421 1435 1517 1813 2009 2030 2146 2378 2590 2842 2870 3034 3626 4018 4060 4292 4756 5180 5365 5684 5740 5945 6068 7105 7252 7511 7585 8036 8323 9065 10045 10619 10730 11890 14210 15022 15170 16646 18130 20090 21238 21460 23780 28420 30044 30340 33292 36260 37555 40180 41615 42476 43993 52577 53095 58261 74333 75110 83230 87986 105154 106190 116522 148666 150220 166460 175972 210308 212380 219965 233044 262885 291305 297332 307951 371665 439930 525770 582610 615902 743330 879860 1051540 1165220 1231804 1486660 1539755 2155657 3079510 4311314 6159020 8622628 10778285 21556570 43113140