Search a number
-
+
128914368 = 26311231179
BaseRepresentation
bin1111010111100…
…01001111000000
322222120112021020
413223301033000
5231000224433
620443025440
73123516432
oct753611700
9288515236
10128914368
1166850300
123720b280
13209285bb
141319a652
15b4b6cb3
hex7af13c0

128914368 has 168 divisors, whose sum is σ = 389168640. Its totient is φ = 37593600.

The previous prime is 128914363. The next prime is 128914369. The reversal of 128914368 is 863419821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128914361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720103 + ... + 720281.

It is an arithmetic number, because the mean of its divisors is an integer number (2316480).

Almost surely, 2128914368 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 128914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

128914368 is an abundant number, since it is smaller than the sum of its proper divisors (260254272).

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

128914368 is a wasteful number, since it uses less digits than its factorization.

128914368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 128914368 is about 11354.0463271910. The cubic root of 128914368 is about 505.1656065690.

The spelling of 128914368 in words is "one hundred twenty-eight million, nine hundred fourteen thousand, three hundred sixty-eight".