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107279004 = 22372947937
BaseRepresentation
bin1100110010011…
…11001010011100
321110212100010110
412121033022130
5204430412004
614351210020
72441566530
oct631171234
9243770113
10107279004
1155613338
122bb16910
13192c1a01
1410367bc0
159641589
hex664f29c

107279004 has 96 divisors (see below), whose sum is σ = 302561280. Its totient is φ = 28933632.

The previous prime is 107278991. The next prime is 107279009. The reversal of 107279004 is 400972701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107279009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114024 + ... + 114960.

It is an arithmetic number, because the mean of its divisors is an integer number (3151680).

Almost surely, 2107279004 is an apocalyptic number.

107279004 is a gapful number since it is divisible by the number (14) 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 107279004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151280640).

107279004 is an abundant number, since it is smaller than the sum of its proper divisors (195282276).

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

107279004 is a wasteful number, since it uses less digits than its factorization.

107279004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 107279004 is about 10357.5578202586. The cubic root of 107279004 is about 475.1582172845.

The spelling of 107279004 in words is "one hundred seven million, two hundred seventy-nine thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 47 58 84 87 94 116 141 174 188 203 282 329 348 406 564 609 658 812 937 987 1218 1316 1363 1874 1974 2436 2726 2811 3748 3948 4089 5452 5622 6559 8178 9541 11244 13118 16356 19082 19677 26236 27173 28623 38164 39354 44039 54346 57246 78708 81519 88078 108692 114492 132117 163038 176156 190211 264234 308273 326076 380422 528468 570633 616546 760844 924819 1141266 1233092 1277131 1849638 2282532 2554262 3699276 3831393 5108524 7662786 8939917 15325572 17879834 26819751 35759668 53639502 107279004