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107040080 = 2457191143
BaseRepresentation
bin1100110000101…
…00110101010000
321110102012101102
412120110311100
5204400240310
614342123532
72436553130
oct630246520
9243365342
10107040080
115546a884
122ba205a8
131923a034
1410304ac0
1595e58a5
hex6614d50

107040080 has 40 divisors (see below), whose sum is σ = 284422272. Its totient is φ = 36699264.

The previous prime is 107040067. The next prime is 107040083. The reversal of 107040080 is 80040701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1070400802 = 22915157452812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107040083) 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 7 ways as a sum of consecutive naturals, for example, 95012 + ... + 96131.

Almost surely, 2107040080 is an apocalyptic number.

107040080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107040080 is an abundant number, since it is smaller than the sum of its proper divisors (177382192).

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

107040080 is a wasteful number, since it uses less digits than its factorization.

107040080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191163 (or 191157 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 107040080 is about 10346.0175913247. The cubic root of 107040080 is about 474.8052091419.

Adding to 107040080 its reverse (80040701), we get a palindrome (187080781).

The spelling of 107040080 in words is "one hundred seven million, forty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 191143 382286 764572 955715 1338001 1529144 1911430 2676002 3058288 3822860 5352004 6690005 7645720 10704008 13380010 15291440 21408016 26760020 53520040 107040080