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128285640 = 23335771239
BaseRepresentation
bin1111010010101…
…11101111001000
322221101120211000
413221113233020
5230320120030
620421335000
73115260420
oct751275710
9287346730
10128285640
116646099a
1236b67460
1320768382
1413075480
15b3e0860
hex7a57bc8

128285640 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 28788480.

The previous prime is 128285627. The next prime is 128285653. The reversal of 128285640 is 46582821.

128285640 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 8 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (128285627) and next prime (128285653).

It is a super-3 number, since 3×1282856403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128285595 and 128285604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 536641 + ... + 536879.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2128285640 is an apocalyptic number.

128285640 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 128285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

128285640 is an abundant number, since it is smaller than the sum of its proper divisors (369378360).

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

128285640 is a wasteful number, since it uses less digits than its factorization.

128285640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 128285640 is about 11326.3250880416. The cubic root of 128285640 is about 504.3430204569.

The spelling of 128285640 in words is "one hundred twenty-eight million, two hundred eighty-five thousand, six hundred forty".