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128940240 = 243511132172
BaseRepresentation
bin1111010111101…
…11100011010000
322222121211202110
413223313203100
5231002041430
620443345320
73123655032
oct753674320
9288554673
10128940240
1166868790
1237222240
1320937300
14131a5c52
15b4be7b0
hex7af78d0

128940240 has 360 divisors, whose sum is σ = 501583968. Its totient is φ = 27156480.

The previous prime is 128940211. The next prime is 128940247. The reversal of 128940240 is 42049821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 128940198 and 128940207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128940247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7584712 + ... + 7584728.

Almost surely, 2128940240 is an apocalyptic number.

128940240 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 128940240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250791984).

128940240 is an abundant number, since it is smaller than the sum of its proper divisors (372643728).

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

128940240 is a wasteful number, since it uses less digits than its factorization.

128940240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 128940240 is about 11355.1855995400. The cubic root of 128940240 is about 505.1993984329.

The spelling of 128940240 in words is "one hundred twenty-eight million, nine hundred forty thousand, two hundred forty".