Search a number
-
+
128773632 = 293136449
BaseRepresentation
bin1111010110011…
…10111000000000
322222022101012210
413223032320000
5230431224012
620440022120
73122362221
oct753167000
9288271183
10128773632
1166764599
1237161940
13208a9520
1413161248
15b48a23c
hex7acee00

128773632 has 80 divisors (see below), whose sum is σ = 369507600. Its totient is φ = 39616512.

The previous prime is 128773607. The next prime is 128773637. The reversal of 128773632 is 236377821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128773637) 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 7 ways as a sum of consecutive naturals, for example, 16744 + ... + 23192.

It is an arithmetic number, because the mean of its divisors is an integer number (4618845).

Almost surely, 2128773632 is an apocalyptic number.

128773632 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 128773632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184753800).

128773632 is an abundant number, since it is smaller than the sum of its proper divisors (240733968).

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

128773632 is an equidigital number, since it uses as much as digits as its factorization.

128773632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6467 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 128773632 is about 11347.8470204704. The cubic root of 128773632 is about 504.9817096274.

The spelling of 128773632 in words is "one hundred twenty-eight million, seven hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6449 6656 9984 12898 19347 19968 25796 38694 51592 77388 83837 103184 154776 167674 206368 251511 309552 335348 412736 503022 619104 670696 825472 1006044 1238208 1341392 1650944 2012088 2476416 2682784 3301888 4024176 4952832 5365568 8048352 9905664 10731136 16096704 21462272 32193408 42924544 64386816 128773632