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128276772 = 223131316277
BaseRepresentation
bin1111010010101…
…01100100100100
322221101010122120
413221111210210
5230314324042
620421225540
73115222521
oct751254444
9287333576
10128276772
1166455268
1236b622b0
1320764320
1413072148
15b3dcdec
hex7a55924

128276772 has 48 divisors (see below), whose sum is σ = 324848832. Its totient is φ = 39162240.

The previous prime is 128276737. The next prime is 128276779. The reversal of 128276772 is 277672821.

It is not an unprimeable number, because it can be changed into a prime (128276779) 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, 17298 + ... + 23574.

It is an arithmetic number, because the mean of its divisors is an integer number (6767684).

Almost surely, 2128276772 is an apocalyptic number.

128276772 is a gapful number since it is divisible by the number (12) 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 128276772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162424416).

128276772 is an abundant number, since it is smaller than the sum of its proper divisors (196572060).

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

128276772 is a wasteful number, since it uses less digits than its factorization.

128276772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6426 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 128276772 is about 11325.9336039022. The cubic root of 128276772 is about 504.3313989510.

The spelling of 128276772 in words is "one hundred twenty-eight million, two hundred seventy-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 786 1572 1703 3406 5109 6277 6812 10218 12554 18831 20436 25108 37662 75324 81601 163202 244803 326404 489606 822287 979212 1644574 2466861 3289148 4933722 9867444 10689731 21379462 32069193 42758924 64138386 128276772