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107511040 = 285713271
BaseRepresentation
bin1100110100001…
…11110100000000
321111022010102101
412122013310000
5210010323130
614400200144
72443554160
oct632076400
9244263371
10107511040
11557616aa
1230009054
1319373500
14103c85a0
15968a1ca
hex6687d00

107511040 has 216 divisors, whose sum is σ = 323180928. Its totient is φ = 33546240.

The previous prime is 107511037. The next prime is 107511049. The reversal of 107511040 is 40115701.

It is a junction number, because it is equal to n+sod(n) for n = 107510999 and 107511017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107511049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1514205 + ... + 1514275.

It is an arithmetic number, because the mean of its divisors is an integer number (1496208).

Almost surely, 2107511040 is an apocalyptic number.

107511040 is a gapful number since it is divisible by the number (10) 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 107511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161590464).

107511040 is an abundant number, since it is smaller than the sum of its proper divisors (215669888).

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

107511040 is an equidigital number, since it uses as much as digits as its factorization.

107511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 107511040 is about 10368.7530590713. The cubic root of 107511040 is about 475.5005471387.

Adding to 107511040 its reverse (40115701), we get a palindrome (147626741).

The spelling of 107511040 in words is "one hundred seven million, five hundred eleven thousand, forty".