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103442144 = 25131714627
BaseRepresentation
bin1100010101001…
…10011011100000
321012122101221112
412022212123200
5202440122034
614133042452
72364146411
oct612463340
9235571845
10103442144
1153432683
122a786428
131857a490
14da49808
1591347ce
hex62a66e0

103442144 has 48 divisors (see below), whose sum is σ = 232234128. Its totient is φ = 44931072.

The previous prime is 103442123. The next prime is 103442149. The reversal of 103442144 is 441244301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103442149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242 + ... + 14385.

It is an arithmetic number, because the mean of its divisors is an integer number (4838211).

Almost surely, 2103442144 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 103442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116117064).

103442144 is an abundant number, since it is smaller than the sum of its proper divisors (128791984).

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

103442144 is a wasteful number, since it uses less digits than its factorization.

103442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14667 (or 14659 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 103442144 is about 10170.6511099339. The cubic root of 103442144 is about 469.4245923465.

Adding to 103442144 its reverse (441244301), we get a palindrome (544686445).

The spelling of 103442144 in words is "one hundred three million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 14627 29254 58508 117016 190151 234032 248659 380302 468064 497318 760604 994636 1521208 1989272 3042416 3232567 3978544 6084832 6465134 7957088 12930268 25860536 51721072 103442144