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102399128 = 23132233789
BaseRepresentation
bin1100001101001…
…11110010011000
321010200102012022
412012213302120
5202203233003
614054434012
72352243506
oct606476230
9233612168
10102399128
115288aa87
122a362908
13182a3800
14d857676
158eca738
hex61a7c98

102399128 has 96 divisors (see below), whose sum is σ = 225309600. Its totient is φ = 43490304.

The previous prime is 102399119. The next prime is 102399139. The reversal of 102399128 is 821993201.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1150508 + ... + 1150596.

It is an arithmetic number, because the mean of its divisors is an integer number (2346975).

Almost surely, 2102399128 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 102399128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654800).

102399128 is an abundant number, since it is smaller than the sum of its proper divisors (122910472).

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

102399128 is a wasteful number, since it uses less digits than its factorization.

102399128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 102399128 is about 10119.2454264140. The cubic root of 102399128 is about 467.8415101189.

The spelling of 102399128 in words is "one hundred two million, three hundred ninety-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 23 26 37 46 52 74 89 92 104 148 169 178 184 296 299 338 356 481 598 676 712 851 962 1157 1196 1352 1702 1924 2047 2314 2392 3293 3404 3848 3887 4094 4628 6253 6586 6808 7774 8188 9256 11063 12506 13172 15041 15548 16376 22126 25012 26344 26611 30082 31096 42809 44252 50024 53222 60164 75739 85618 88504 106444 120328 143819 151478 171236 212888 287638 302956 342472 345943 556517 575276 605912 691886 984607 1113034 1150552 1383772 1969214 2226068 2767544 3938428 4452136 7876856 12799891 25599782 51199564 102399128