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128173640 = 23571134051
BaseRepresentation
bin1111010001111…
…00011001001000
322221011220011212
413220330121020
5230303024030
620415112252
73114313040
oct750743110
9287156155
10128173640
1166394831
1236b12688
13207293ba
1413046720
15b3bc595
hex7a3c648

128173640 has 64 divisors (see below), whose sum is σ = 332588160. Its totient is φ = 43545600.

The previous prime is 128173621. The next prime is 128173651. The reversal of 128173640 is 46371821.

It is a junction number, because it is equal to n+sod(n) for n = 128173597 and 128173606.

It is an unprimeable number.

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, 29615 + ... + 33665.

It is an arithmetic number, because the mean of its divisors is an integer number (5196690).

Almost surely, 2128173640 is an apocalyptic number.

128173640 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 128173640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166294080).

128173640 is an abundant number, since it is smaller than the sum of its proper divisors (204414520).

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

128173640 is a wasteful number, since it uses less digits than its factorization.

128173640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 128173640 is about 11321.3797745681. The cubic root of 128173640 is about 504.1962052072.

The spelling of 128173640 in words is "one hundred twenty-eight million, one hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1582 2260 3164 3955 4051 4520 6328 7910 8102 15820 16204 20255 28357 31640 32408 40510 56714 81020 113428 141785 162040 226856 283570 457763 567140 915526 1134280 1831052 2288815 3204341 3662104 4577630 6408682 9155260 12817364 16021705 18310520 25634728 32043410 64086820 128173640