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107415248 = 24173112739
BaseRepresentation
bin1100110011100…
…00011011010000
321111010021000112
412121300123100
5204444241443
614354140452
72443004663
oct631603320
9244107015
10107415248
11556a6736
122bb81728
131933ba25
14103a16da
15966bb18
hex66706d0

107415248 has 40 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 48913920.

The previous prime is 107415229. The next prime is 107415263. The reversal of 107415248 is 842514701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2063 + ... + 14801.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2107415248 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 107415248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

107415248 is an abundant number, since it is smaller than the sum of its proper divisors (120070192).

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

107415248 is a wasteful number, since it uses less digits than its factorization.

107415248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12795 (or 12789 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 107415248 is about 10364.1327664209. The cubic root of 107415248 is about 475.3592820086.

Adding to 107415248 its reverse (842514701), we get a palindrome (949929949).

The spelling of 107415248 in words is "one hundred seven million, four hundred fifteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 12739 25478 50956 101912 203824 216563 394909 433126 789818 866252 1579636 1732504 3159272 3465008 6318544 6713453 13426906 26853812 53707624 107415248