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128140008 = 23353131769
BaseRepresentation
bin1111010001101…
…00001011101000
322221010012001020
413220310023220
5230300440013
620414252440
73114113013
oct750641350
9287105036
10128140008
1166371537
1236ab7120
1320716cb9
141303837a
15b3b2623
hex7a342e8

128140008 has 64 divisors (see below), whose sum is σ = 329313600. Its totient is φ = 41533440.

The previous prime is 128140003. The next prime is 128140031. The reversal of 128140008 is 800041821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 128140008.

It is not an unprimeable number, because it can be changed into a prime (128140003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166248 + ... + 167016.

It is an arithmetic number, because the mean of its divisors is an integer number (5145525).

Almost surely, 2128140008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128140008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

128140008 is an abundant number, since it is smaller than the sum of its proper divisors (201173592).

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

128140008 is a wasteful number, since it uses less digits than its factorization.

128140008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 128140008 is about 11319.8943457967. The cubic root of 128140008 is about 504.1521019888.

Adding to 128140008 its reverse (800041821), we get a palindrome (928181829).

The spelling of 128140008 in words is "one hundred twenty-eight million, one hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 131 159 212 262 318 393 424 524 636 769 786 1048 1272 1538 1572 2307 3076 3144 4614 6152 6943 9228 13886 18456 20829 27772 40757 41658 55544 81514 83316 100739 122271 163028 166632 201478 244542 302217 326056 402956 489084 604434 805912 978168 1208868 2417736 5339167 10678334 16017501 21356668 32035002 42713336 64070004 128140008