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41010132 = 22319434789
BaseRepresentation
bin1001110001110…
…0001111010100
32212011112022210
42130130033110
540444311012
64022553420
71005403032
oct234341724
985145283
1041010132
1121170579
1211898870
13865b567
145637552
15390123c
hex271c3d4

41010132 has 96 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 12241152.

The previous prime is 41010131. The next prime is 41010157. The reversal of 41010132 is 23101014.

It is a happy number.

41010132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41010131) 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 31 ways as a sum of consecutive naturals, for example, 460744 + ... + 460832.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 241010132 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 41010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

41010132 is an abundant number, since it is smaller than the sum of its proper divisors (65434668).

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

41010132 is a wasteful number, since it uses less digits than its factorization.

41010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 41010132 is about 6403.9153648374. The cubic root of 41010132 is about 344.8501260379.

Adding to 41010132 its reverse (23101014), we get a palindrome (64111146).

The spelling of 41010132 in words is "forty-one million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 43 47 57 76 86 89 94 114 129 141 172 178 188 228 258 267 282 356 516 534 564 817 893 1068 1634 1691 1786 2021 2451 2679 3268 3382 3572 3827 4042 4183 4902 5073 5358 6063 6764 7654 8084 8366 9804 10146 10716 11481 12126 12549 15308 16732 20292 22962 24252 25098 38399 45924 50196 72713 76798 79477 115197 145426 153596 158954 179869 218139 230394 238431 290852 317908 359738 436278 460788 476862 539607 719476 872556 953724 1079214 2158428 3417511 6835022 10252533 13670044 20505066 41010132