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107330700 = 22352715039
BaseRepresentation
bin1100110010110…
…11110010001100
321110221222001010
412121123302030
5204434040300
614352245220
72442203331
oct631336214
9243858033
10107330700
1155649164
122bb40810
131930c3b9
141037c988
159651a50
hex665bc8c

107330700 has 72 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 28212800.

The previous prime is 107330681. The next prime is 107330701. The reversal of 107330700 is 7033701.

It is not an unprimeable number, because it can be changed into a prime (107330701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18781 + ... + 23819.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2107330700 is an apocalyptic number.

107330700 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 107330700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

107330700 is an abundant number, since it is smaller than the sum of its proper divisors (207649140).

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

107330700 is a wasteful number, since it uses less digits than its factorization.

107330700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 21.

The square root of 107330700 is about 10360.0530886671. The cubic root of 107330700 is about 475.2345286897.

The spelling of 107330700 in words is "one hundred seven million, three hundred thirty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5039 5325 7100 10078 10650 15117 20156 21300 25195 30234 50390 60468 75585 100780 125975 151170 251950 302340 357769 377925 503900 715538 755850 1073307 1431076 1511700 1788845 2146614 3577690 4293228 5366535 7155380 8944225 10733070 17888450 21466140 26832675 35776900 53665350 107330700