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43135128 = 23321733463
BaseRepresentation
bin1010010010001…
…1000010011000
310000011111021100
42210203002120
542020311003
64140311400
71032433251
oct244430230
9100144240
1043135128
1122392073
1212542560
138c2385a
145a2bb28
153bc0ba3
hex2923098

43135128 has 48 divisors (see below), whose sum is σ = 117533520. Its totient is φ = 14291136.

The previous prime is 43135123. The next prime is 43135129. The reversal of 43135128 is 82153134.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43135121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10725 + ... + 14187.

It is an arithmetic number, because the mean of its divisors is an integer number (2448615).

Almost surely, 243135128 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 43135128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58766760).

43135128 is an abundant number, since it is smaller than the sum of its proper divisors (74398392).

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

43135128 is a wasteful number, since it uses less digits than its factorization.

43135128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3641 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 43135128 is about 6567.7338557527. The cubic root of 43135128 is about 350.7064045977.

The spelling of 43135128 in words is "forty-three million, one hundred thirty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 3463 4152 6228 6926 10389 12456 13852 20778 27704 31167 41556 62334 83112 124668 249336 599099 1198198 1797297 2396396 3594594 4792792 5391891 7189188 10783782 14378376 21567564 43135128