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128143620 = 22365111747
BaseRepresentation
bin1111010001101…
…01000100000100
322221010101000000
413220311010010
5230301043440
620414321300
73114126363
oct750650404
9287111000
10128143620
1166374220
1236ab9230
1320718837
14130397da
15b3b3730
hex7a35104

128143620 has 336 divisors, whose sum is σ = 475953408. Its totient is φ = 28615680.

The previous prime is 128143607. The next prime is 128143621. The reversal of 128143620 is 26341821.

128143620 is a `hidden beast` number, since 1 + 28 + 14 + 3 + 620 = 666.

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 (128143621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2726437 + ... + 2726483.

It is an arithmetic number, because the mean of its divisors is an integer number (1416528).

Almost surely, 2128143620 is an apocalyptic number.

128143620 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 128143620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237976704).

128143620 is an abundant number, since it is smaller than the sum of its proper divisors (347809788).

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

128143620 is a wasteful number, since it uses less digits than its factorization.

128143620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 128143620 is about 11320.0538867975. The cubic root of 128143620 is about 504.1568389436.

The spelling of 128143620 in words is "one hundred twenty-eight million, one hundred forty-three thousand, six hundred twenty".