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103661552 = 24231012789
BaseRepresentation
bin1100010110110…
…11111111110000
321020001112220202
412023123333300
5203014132202
614141454332
72366052161
oct613337760
9236045822
10103661552
1153572505
122a8713a8
13186262c7
14daa5768
159179802
hex62dbff0

103661552 has 40 divisors (see below), whose sum is σ = 211727520. Its totient is φ = 49068800.

The previous prime is 103661527. The next prime is 103661581. The reversal of 103661552 is 255166301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35774 + ... + 38562.

It is an arithmetic number, because the mean of its divisors is an integer number (5293188).

Almost surely, 2103661552 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 103661552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105863760).

103661552 is an abundant number, since it is smaller than the sum of its proper divisors (108065968).

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

103661552 is a wasteful number, since it uses less digits than its factorization.

103661552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 103661552 is about 10181.4317264322. The cubic root of 103661552 is about 469.7562520629.

The spelling of 103661552 in words is "one hundred three million, six hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 92 101 184 202 368 404 808 1616 2323 2789 4646 5578 9292 11156 18584 22312 37168 44624 64147 128294 256588 281689 513176 563378 1026352 1126756 2253512 4507024 6478847 12957694 25915388 51830776 103661552