Search a number
-
+
128029716 = 223241127683
BaseRepresentation
bin1111010000110…
…01010000010100
322220220120202100
413220121100110
5230233422331
620412042100
73113143323
oct750312024
9286816670
10128029716
11662a6691
1236a63330
13206a8a39
141300a0ba
15b38eae6
hex7a19414

128029716 has 72 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 41247360.

The previous prime is 128029687. The next prime is 128029747. The reversal of 128029716 is 617920821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187111 + ... + 187793.

It is an arithmetic number, because the mean of its divisors is an integer number (4647552).

Almost surely, 2128029716 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 128029716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

128029716 is an abundant number, since it is smaller than the sum of its proper divisors (206594028).

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

128029716 is a wasteful number, since it uses less digits than its factorization.

128029716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 128029716 is about 11315.0216968418. The cubic root of 128029716 is about 504.0074167465.

The spelling of 128029716 in words is "one hundred twenty-eight million, twenty-nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 127 164 246 254 369 381 492 508 683 738 762 1143 1366 1476 1524 2049 2286 2732 4098 4572 5207 6147 8196 10414 12294 15621 20828 24588 28003 31242 46863 56006 62484 84009 86741 93726 112012 168018 173482 187452 252027 260223 336036 346964 504054 520446 780669 1008108 1040892 1561338 3122676 3556381 7112762 10669143 14225524 21338286 32007429 42676572 64014858 128029716