Search a number
-
+
128884068 = 223319107587
BaseRepresentation
bin1111010111010…
…01110101100100
322222111222201000
413223221311210
5230443242233
620442233300
73123332205
oct753516544
9288458630
10128884068
116682a565
12371b5830
1320917881
141318d5ac
15b4acd13
hex7ae9d64

128884068 has 96 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 40251168.

The previous prime is 128884057. The next prime is 128884069. The reversal of 128884068 is 860488821.

It is a happy number.

It is a super-2 number, since 2×1288840682 = 33222205968457248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128884069) 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, 219271 + ... + 219857.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2128884068 is an apocalyptic number.

128884068 is a gapful number since it is divisible by the number (18) 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 128884068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

128884068 is an abundant number, since it is smaller than the sum of its proper divisors (226738332).

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

128884068 is a wasteful number, since it uses less digits than its factorization.

128884068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 128884068 is about 11352.7119227082. The cubic root of 128884068 is about 505.1260254696.

The spelling of 128884068 in words is "one hundred twenty-eight million, eight hundred eighty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 107 108 114 171 214 228 321 342 428 513 587 642 684 963 1026 1174 1284 1761 1926 2033 2052 2348 2889 3522 3852 4066 5283 5778 6099 7044 8132 10566 11153 11556 12198 15849 18297 21132 22306 24396 31698 33459 36594 44612 54891 62809 63396 66918 73188 100377 109782 125618 133836 188427 200754 219564 251236 301131 376854 401508 565281 602262 753708 1130562 1193371 1204524 1695843 2261124 2386742 3391686 3580113 4773484 6783372 7160226 10740339 14320452 21480678 32221017 42961356 64442034 128884068