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107040024 = 233271317312
BaseRepresentation
bin1100110000101…
…00110100011000
321110102012022100
412120110310120
5204400240044
614342123400
72436553020
oct630246430
9243365270
10107040024
115546a833
122ba20560
1319239cc0
1410304a80
1595e5869
hex6614d18

107040024 has 288 divisors, whose sum is σ = 390368160. Its totient is φ = 25712640.

The previous prime is 107040013. The next prime is 107040047. The reversal of 107040024 is 420040701.

It is a happy number.

It is a super-2 number, since 2×1070400242 = 22915133475841152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107039979 and 107040006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3452889 + ... + 3452919.

It is an arithmetic number, because the mean of its divisors is an integer number (1355445).

Almost surely, 2107040024 is an apocalyptic number.

107040024 is a gapful number since it is divisible by the number (14) 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 107040024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195184080).

107040024 is an abundant number, since it is smaller than the sum of its proper divisors (283328136).

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

107040024 is a wasteful number, since it uses less digits than its factorization.

107040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 107040024 is about 10346.0148849690. The cubic root of 107040024 is about 474.8051263409.

Adding to 107040024 its reverse (420040701), we get a palindrome (527080725).

The spelling of 107040024 in words is "one hundred seven million, forty thousand, twenty-four".