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107002080 = 25335173147
BaseRepresentation
bin1100110000010…
…11100011100000
321110100021021000
412120023203200
5204343031310
614341232000
72436334263
oct630134340
9243307230
10107002080
1155444279
122ba02600
1319225953
14102d4cda
1595d94c0
hex660b8e0

107002080 has 384 divisors, whose sum is σ = 418037760. Its totient is φ = 25436160.

The previous prime is 107002079. The next prime is 107002081. The reversal of 107002080 is 80200701.

It is an interprime number because it is at equal distance from previous prime (107002079) and next prime (107002081).

It is a super-2 number, since 2×1070020802 = 22898890248652800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107002081) 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 63 ways as a sum of consecutive naturals, for example, 2276617 + ... + 2276663.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2107002080 is an apocalyptic number.

107002080 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 107002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

107002080 is an abundant number, since it is smaller than the sum of its proper divisors (311035680).

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

107002080 is a wasteful number, since it uses less digits than its factorization.

107002080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 107002080 is about 10344.1809728949. The cubic root of 107002080 is about 474.7490160678.

Adding to 107002080 its reverse (80200701), we get a palindrome (187202781).

The spelling of 107002080 in words is "one hundred seven million, two thousand, eighty".