Search a number
-
+
128054064 = 24317236823
BaseRepresentation
bin1111010000111…
…11001100110000
322220221211011010
413220133030300
5230240212224
620412350520
73113304315
oct750371460
9286854133
10128054064
1166312a06
1236a75440
13206b6b48
1413014d0c
15b396e29
hex7a1f330

128054064 has 80 divisors (see below), whose sum is σ = 365548032. Its totient is φ = 38421504.

The previous prime is 128054063. The next prime is 128054071. The reversal of 128054064 is 460450821.

It is not an unprimeable number, because it can be changed into a prime (128054063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15357 + ... + 22179.

Almost surely, 2128054064 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 128054064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182774016).

128054064 is an abundant number, since it is smaller than the sum of its proper divisors (237493968).

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

128054064 is a wasteful number, since it uses less digits than its factorization.

128054064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 128054064 is about 11316.0975605551. The cubic root of 128054064 is about 504.0393645243.

The spelling of 128054064 in words is "one hundred twenty-eight million, fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1104 1173 1564 2346 3128 4692 6256 6823 9384 13646 18768 20469 27292 40938 54584 81876 109168 115991 156929 163752 231982 313858 327504 347973 463964 470787 627716 695946 927928 941574 1255432 1391892 1855856 1883148 2510864 2667793 2783784 3766296 5335586 5567568 7532592 8003379 10671172 16006758 21342344 32013516 42684688 64027032 128054064