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128094320 = 2451797971
BaseRepresentation
bin1111010001010…
…01000001110000
322221000212101002
413220221001300
5230243004240
620413301132
73113532554
oct750510160
9287025332
10128094320
1166340182
1236a947a8
13206cc273
1413025864
15b3a3d15
hex7a29070

128094320 has 80 divisors (see below), whose sum is σ = 318917088. Its totient is φ = 47677440.

The previous prime is 128094287. The next prime is 128094347. The reversal of 128094320 is 23490821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 131435 + ... + 132405.

Almost surely, 2128094320 is an apocalyptic number.

128094320 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 128094320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159458544).

128094320 is an abundant number, since it is smaller than the sum of its proper divisors (190822768).

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

128094320 is a wasteful number, since it uses less digits than its factorization.

128094320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 128094320 is about 11317.8761258462. The cubic root of 128094320 is about 504.0921768083.

The spelling of 128094320 in words is "one hundred twenty-eight million, ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 136 170 194 272 340 388 485 680 776 970 971 1360 1552 1649 1940 1942 3298 3880 3884 4855 6596 7760 7768 8245 9710 13192 15536 16490 16507 19420 26384 32980 33014 38840 65960 66028 77680 82535 94187 131920 132056 165070 188374 264112 330140 376748 470935 660280 753496 941870 1320560 1506992 1601179 1883740 3202358 3767480 6404716 7534960 8005895 12809432 16011790 25618864 32023580 64047160 128094320