Search a number
-
+
128388432 = 24319913441
BaseRepresentation
bin1111010011100…
…00110101010000
322221120210211010
413221300311100
5230331412212
620423450520
73116166204
oct751606520
9287523733
10128388432
1166521147
1236bb6a40
13207a30b3
14130a0b04
15b41103c
hex7a70d50

128388432 has 40 divisors (see below), whose sum is σ = 333361600. Its totient is φ = 42577920.

The previous prime is 128388413. The next prime is 128388433. The reversal of 128388432 is 234883821.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128388433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2832 + ... + 16272.

It is an arithmetic number, because the mean of its divisors is an integer number (8334040).

Almost surely, 2128388432 is an apocalyptic number.

128388432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128388432 is an abundant number, since it is smaller than the sum of its proper divisors (204973168).

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

128388432 is a wasteful number, since it uses less digits than its factorization.

128388432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13651 (or 13645 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 128388432 is about 11330.8619266144. The cubic root of 128388432 is about 504.4776902122.

The spelling of 128388432 in words is "one hundred twenty-eight million, three hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 199 398 597 796 1194 1592 2388 3184 4776 9552 13441 26882 40323 53764 80646 107528 161292 215056 322584 645168 2674759 5349518 8024277 10699036 16048554 21398072 32097108 42796144 64194216 128388432