Search a number
-
+
107428308 = 223132379379
BaseRepresentation
bin1100110011100…
…11100111010100
321111010220221020
412121303213110
5210000201213
614354321140
72443061031
oct631634724
9244126836
10107428308
1155705529
122bb891b0
1319344960
14103a6388
159670923
hex66739d4

107428308 has 96 divisors (see below), whose sum is σ = 286003200. Its totient is φ = 31135104.

The previous prime is 107428303. The next prime is 107428327. The reversal of 107428308 is 803824701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107428303) 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, 283263 + ... + 283641.

It is an arithmetic number, because the mean of its divisors is an integer number (2979200).

Almost surely, 2107428308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107428308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143001600).

107428308 is an abundant number, since it is smaller than the sum of its proper divisors (178574892).

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

107428308 is a wasteful number, since it uses less digits than its factorization.

107428308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 107428308 is about 10364.7628048113. The cubic root of 107428308 is about 475.3785466249.

The spelling of 107428308 in words is "one hundred seven million, four hundred twenty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 79 92 138 156 158 237 276 299 316 379 474 598 758 897 948 1027 1137 1196 1516 1794 1817 2054 2274 3081 3588 3634 4108 4548 4927 5451 6162 7268 8717 9854 10902 12324 14781 17434 19708 21804 23621 26151 29562 29941 34868 47242 52302 59124 59882 70863 89823 94484 104604 113321 119764 141726 179646 226642 283452 339963 359292 389233 453284 679926 688643 778466 1167699 1359852 1377286 1556932 2065929 2335398 2754572 4131858 4670796 8263716 8952359 17904718 26857077 35809436 53714154 107428308