Search a number
-
+
128305464 = 23374317761
BaseRepresentation
bin1111010010111…
…00100100111000
322221102121000020
413221130210320
5230321233324
620422010440
73115402260
oct751344470
9287377006
10128305464
1166474881
1236b76a20
13207743c1
141307c7a0
15b3e6679
hex7a5c938

128305464 has 64 divisors (see below), whose sum is σ = 375133440. Its totient is φ = 35804160.

The previous prime is 128305459. The next prime is 128305493. The reversal of 128305464 is 464503821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657 + ... + 16104.

It is an arithmetic number, because the mean of its divisors is an integer number (5861460).

Almost surely, 2128305464 is an apocalyptic number.

128305464 is a gapful number since it is divisible by the number (14) 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 128305464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187566720).

128305464 is an abundant number, since it is smaller than the sum of its proper divisors (246827976).

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

128305464 is a wasteful number, since it uses less digits than its factorization.

128305464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17820 (or 17816 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 128305464 is about 11327.2001836288. The cubic root of 128305464 is about 504.3689978541.

The spelling of 128305464 in words is "one hundred twenty-eight million, three hundred five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 17761 35522 53283 71044 106566 124327 142088 213132 248654 372981 426264 497308 745962 763723 994616 1491924 1527446 2291169 2983848 3054892 4582338 5346061 6109784 9164676 10692122 16038183 18329352 21384244 32076366 42768488 64152732 128305464