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107075700 = 223252118973
BaseRepresentation
bin1100110000111…
…01100001110100
321110111000020200
412120131201310
5204402410300
614343000500
72440062024
oct630354164
9243430220
10107075700
1155494616
122ba39130
1319250304
1410313a84
159601200
hex661d874

107075700 has 54 divisors (see below), whose sum is σ = 335625654. Its totient is φ = 28553280.

The previous prime is 107075687. The next prime is 107075701. The reversal of 107075700 is 7570701.

It can be written as a sum of positive squares in 3 ways, for example, as 820836 + 106254864 = 906^2 + 10308^2 .

It is a super-2 number, since 2×1070757002 = 22930411060980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107075701) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 58587 + ... + 60386.

Almost surely, 2107075700 is an apocalyptic number.

107075700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107075700 is an abundant number, since it is smaller than the sum of its proper divisors (228549954).

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

107075700 is a wasteful number, since it uses less digits than its factorization.

107075700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118993 (or 118983 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 27.

The square root of 107075700 is about 10347.7388834470. The cubic root of 107075700 is about 474.8578706804.

The spelling of 107075700 in words is "one hundred seven million, seventy-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 118973 237946 356919 475892 594865 713838 1070757 1189730 1427676 1784595 2141514 2379460 2974325 3569190 4283028 5353785 5948650 7138380 8922975 10707570 11897300 17845950 21415140 26768925 35691900 53537850 107075700