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107442480 = 2435447677
BaseRepresentation
bin1100110011101…
…11000100110000
321111011122101010
412121313010300
5210001124410
614354510520
72443150245
oct631670460
9244148333
10107442480
1155715142
122bb95440
131934b242
14103ab5cc
159674c20
hex6677130

107442480 has 40 divisors (see below), whose sum is σ = 333072432. Its totient is φ = 28651264.

The previous prime is 107442457. The next prime is 107442539. The reversal of 107442480 is 84244701.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 223599 + ... + 224078.

Almost surely, 2107442480 is an apocalyptic number.

107442480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107442480 is an abundant number, since it is smaller than the sum of its proper divisors (225629952).

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

107442480 is a wasteful number, since it uses less digits than its factorization.

107442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447693 (or 447687 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 107442480 is about 10365.4464447992. The cubic root of 107442480 is about 475.3994497700.

The spelling of 107442480 in words is "one hundred seven million, four hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 447677 895354 1343031 1790708 2238385 2686062 3581416 4476770 5372124 6715155 7162832 8953540 10744248 13430310 17907080 21488496 26860620 35814160 53721240 107442480