[go: up one dir, main page]

Search a number
-
+
128345456 = 24193113619
BaseRepresentation
bin1111010011001…
…10010101110000
322221111121212102
413221212111300
5230324023311
620422515532
73115630001
oct751462560
9287447772
10128345456
11664a1928
1236b95ba8
1320789675
141308d1a8
15b40343b
hex7a66570

128345456 has 40 divisors (see below), whose sum is σ = 270220800. Its totient is φ = 58829760.

The previous prime is 128345443. The next prime is 128345467. The reversal of 128345456 is 654543821.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2615 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (6755520).

Almost surely, 2128345456 is an apocalyptic number.

128345456 is a gapful number since it is divisible by the number (16) 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 128345456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135110400).

128345456 is an abundant number, since it is smaller than the sum of its proper divisors (141875344).

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

128345456 is a wasteful number, since it uses less digits than its factorization.

128345456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13677 (or 13671 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 128345456 is about 11328.9653543472. The cubic root of 128345456 is about 504.4213952839.

The spelling of 128345456 in words is "one hundred twenty-eight million, three hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 9424 13619 27238 54476 108952 217904 258761 422189 517522 844378 1035044 1688756 2070088 3377512 4140176 6755024 8021591 16043182 32086364 64172728 128345456