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128391696 = 2433439677
BaseRepresentation
bin1111010011100…
…01101000010000
322221120222022000
413221301220100
5230332013241
620423514000
73116211546
oct751615020
9287528260
10128391696
1166523644
1236bb8900
13207a4724
14130a1d96
15b411eb6
hex7a71a10

128391696 has 80 divisors (see below), whose sum is σ = 369916800. Its totient is φ = 42636672.

The previous prime is 128391691. The next prime is 128391707. The reversal of 128391696 is 696193821.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128391691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189310 + ... + 189986.

It is an arithmetic number, because the mean of its divisors is an integer number (4623960).

Almost surely, 2128391696 is an apocalyptic number.

128391696 is a gapful number since it is divisible by the number (16) 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 128391696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184958400).

128391696 is an abundant number, since it is smaller than the sum of its proper divisors (241525104).

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

128391696 is a wasteful number, since it uses less digits than its factorization.

128391696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1121 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 128391696 is about 11331.0059571073. The cubic root of 128391696 is about 504.4819652631.

It can be divided in two parts, 12839 and 1696, that added together give a triangular number (14535 = T170).

The spelling of 128391696 in words is "one hundred twenty-eight million, three hundred ninety-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 439 677 878 1317 1354 1756 2031 2634 2708 3512 3951 4062 5268 5416 6093 7024 7902 8124 10536 10832 11853 12186 15804 16248 18279 21072 23706 24372 31608 32496 36558 47412 48744 63216 73116 94824 97488 146232 189648 292464 297203 594406 891609 1188812 1783218 2377624 2674827 3566436 4755248 5349654 7132872 8024481 10699308 14265744 16048962 21398616 32097924 42797232 64195848 128391696