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43138116 = 22337431327
BaseRepresentation
bin1010010010001…
…1110001000100
310000011122101000
42210203301010
542020404431
64140333300
71032445050
oct244436104
9100148330
1043138116
112239433a
1212544230
138c25018
145a2cc60
153bc19e6
hex2923c44

43138116 has 96 divisors (see below), whose sum is σ = 130887680. Its totient is φ = 12029472.

The previous prime is 43138111. The next prime is 43138127. The reversal of 43138116 is 61183134.

43138116 is a nontrivial binomial coefficient, being equal to C(9289, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 43138116.

It is not an unprimeable number, because it can be changed into a prime (43138111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31845 + ... + 33171.

Almost surely, 243138116 is an apocalyptic number.

43138116 is the 9288-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43138116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65443840).

43138116 is an abundant number, since it is smaller than the sum of its proper divisors (87749564).

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

43138116 is a wasteful number, since it uses less digits than its factorization.

43138116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1382 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 43138116 is about 6567.9613275354. The cubic root of 43138116 is about 350.7145023021.

It can be divided in two parts, 431381 and 16, that multiplied together give a palindrome (6902096).

The spelling of 43138116 in words is "forty-three million, one hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1327 1548 1806 2322 2654 2709 3612 3981 4644 5308 5418 7962 8127 9289 10836 11943 15924 16254 18578 23886 27867 32508 35829 37156 47772 55734 57061 71658 83601 111468 114122 143316 167202 171183 228244 250803 334404 342366 399427 501606 513549 684732 798854 1003212 1027098 1198281 1540647 1597708 2054196 2396562 3081294 3594843 4793124 6162588 7189686 10784529 14379372 21569058 43138116