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128045232 = 24337223263
BaseRepresentation
bin1111010000111…
…01000010110000
322220221101001000
413220131002300
5230234421412
620412242000
73113236500
oct750350260
9286841030
10128045232
1166307307
1236a70300
13206b2b13
1413011a00
15b3944dc
hex7a1d0b0

128045232 has 240 divisors, whose sum is σ = 447828480. Its totient is φ = 34860672.

The previous prime is 128045219. The next prime is 128045233. The reversal of 128045232 is 232540821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 128045196 and 128045205.

It is not an unprimeable number, because it can be changed into a prime (128045233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486733 + ... + 486995.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2128045232 is an apocalyptic number.

128045232 is a gapful number since it is divisible by the number (12) 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 128045232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

128045232 is an abundant number, since it is smaller than the sum of its proper divisors (319783248).

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

128045232 is a wasteful number, since it uses less digits than its factorization.

128045232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 128045232 is about 11315.7073132880. The cubic root of 128045232 is about 504.0277762470.

The spelling of 128045232 in words is "one hundred twenty-eight million, forty-five thousand, two hundred thirty-two".