Search a number
-
+
128118172 = 227132953229
BaseRepresentation
bin1111010001011…
…10110110011100
322221002002002111
413220232312130
5230244240142
620414003404
73113662240
oct750566634
9287062074
10128118172
1166357096
1236aa6564
132070a090
1413030420
15b3aae17
hex7a2ed9c

128118172 has 96 divisors (see below), whose sum is σ = 292118400. Its totient is φ = 47803392.

The previous prime is 128118149. The next prime is 128118187. The reversal of 128118172 is 271811821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559354 + ... + 559582.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2128118172 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 128118172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

128118172 is an abundant number, since it is smaller than the sum of its proper divisors (164000228).

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

128118172 is a wasteful number, since it uses less digits than its factorization.

128118172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its digits is 1792, while the sum is 31.

The square root of 128118172 is about 11318.9298080693. The cubic root of 128118172 is about 504.1234632863.

Adding to 128118172 its reverse (271811821), we get a palindrome (399929993).

The spelling of 128118172 in words is "one hundred twenty-eight million, one hundred eighteen thousand, one hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 29 52 53 58 91 106 116 182 203 212 229 364 371 377 406 458 689 742 754 812 916 1378 1484 1508 1537 1603 2639 2756 2977 3074 3206 4823 5278 5954 6148 6412 6641 9646 10556 10759 11908 12137 13282 19292 19981 20839 21518 24274 26564 39962 41678 43036 46487 48548 79924 83356 84959 86333 92974 139867 157781 169918 172666 185948 279734 315562 339836 345332 351973 559468 604331 631124 703946 1104467 1208662 1407892 2208934 2417324 2463811 4417868 4575649 4927622 9151298 9855244 18302596 32029543 64059086 128118172