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103631472 = 24327219773
BaseRepresentation
bin1100010110101…
…00101001110000
321020000000122200
412023110221300
5203012201342
614141103200
72365565400
oct613245160
9236000580
10103631472
115355194a
122a857b00
13186156c9
14da98800
15917094c
hex62d4a70

103631472 has 180 divisors, whose sum is σ = 355591080. Its totient is φ = 28014336.

The previous prime is 103631467. The next prime is 103631501. The reversal of 103631472 is 274136301.

It is a super-3 number, since 3×1036314723 (a number of 25 digits) contains 333 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133678 + ... + 134450.

It is an arithmetic number, because the mean of its divisors is an integer number (1975506).

Almost surely, 2103631472 is an apocalyptic number.

103631472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103631472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177795540).

103631472 is an abundant number, since it is smaller than the sum of its proper divisors (251959608).

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

103631472 is a wasteful number, since it uses less digits than its factorization.

103631472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 103631472 is about 10179.9544203302. The cubic root of 103631472 is about 469.7108104800.

Adding to 103631472 its reverse (274136301), we get a palindrome (377767773).

The spelling of 103631472 in words is "one hundred three million, six hundred thirty-one thousand, four hundred seventy-two".