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107043930 = 2355722931
BaseRepresentation
bin1100110000101…
…01110001011010
321110102101200000
412120111301122
5204400401210
614342153430
72436600300
oct630256132
9243371600
10107043930
1155472764
122ba22876
131923ba06
1410306270
1595e6ac0
hex6615c5a

107043930 has 288 divisors, whose sum is σ = 358525440. Its totient is φ = 22861440.

The previous prime is 107043919. The next prime is 107043971. The reversal of 107043930 is 39340701.

It is a super-2 number, since 2×1070439302 = 22916805899689800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107043894 and 107043903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3453015 + ... + 3453045.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2107043930 is an apocalyptic number.

107043930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107043930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

107043930 is an abundant number, since it is smaller than the sum of its proper divisors (251481510).

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

107043930 is a wasteful number, since it uses less digits than its factorization.

107043930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 107043930 is about 10346.2036515816. The cubic root of 107043930 is about 474.8109016456.

The spelling of 107043930 in words is "one hundred seven million, forty-three thousand, nine hundred thirty".