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128172240 = 2433573173
BaseRepresentation
bin1111010001111…
…00000011010000
322221011211021000
413220330003100
5230303002430
620415102000
73114306000
oct750740320
9287154230
10128172240
1166393779
1236b11900
1320728881
1413046000
15b3bbe60
hex7a3c0d0

128172240 has 320 divisors, whose sum is σ = 517824000. Its totient is φ = 29127168.

The previous prime is 128172229. The next prime is 128172241. The reversal of 128172240 is 42271821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128172241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740794 + ... + 740966.

It is an arithmetic number, because the mean of its divisors is an integer number (1618200).

Almost surely, 2128172240 is an apocalyptic number.

128172240 is a gapful number since it is divisible by the number (10) 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 128172240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258912000).

128172240 is an abundant number, since it is smaller than the sum of its proper divisors (389651760).

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

128172240 is a wasteful number, since it uses less digits than its factorization.

128172240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 128172240 is about 11321.3179444798. The cubic root of 128172240 is about 504.1943694755.

The spelling of 128172240 in words is "one hundred twenty-eight million, one hundred seventy-two thousand, two hundred forty".