Search a number
-
+
128090340 = 223257277367
BaseRepresentation
bin1111010001010…
…00000011100100
322221000122220200
413220220003210
5230242342330
620413230500
73113515140
oct750500344
9287018820
10128090340
1166338194
1236a92430
13206ca501
1413024220
15b3a2a60
hex7a280e4

128090340 has 144 divisors (see below), whose sum is σ = 446863872. Its totient is φ = 29092608.

The previous prime is 128090323. The next prime is 128090341. The reversal of 128090340 is 43090821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128090341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 348837 + ... + 349203.

Almost surely, 2128090340 is an apocalyptic number.

128090340 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 128090340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223431936).

128090340 is an abundant number, since it is smaller than the sum of its proper divisors (318773532).

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

128090340 is a wasteful number, since it uses less digits than its factorization.

128090340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 128090340 is about 11317.7002964383. The cubic root of 128090340 is about 504.0869558960.

The spelling of 128090340 in words is "one hundred twenty-eight million, ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 277 315 367 420 554 630 734 831 1101 1108 1260 1385 1468 1662 1835 1939 2202 2493 2569 2770 3303 3324 3670 3878 4155 4404 4986 5138 5505 5540 5817 6606 7340 7707 7756 8310 9695 9972 10276 11010 11634 12465 12845 13212 15414 16515 16620 17451 19390 22020 23121 23268 24930 25690 29085 30828 33030 34902 38535 38780 46242 49860 51380 58170 66060 69804 77070 87255 92484 101659 115605 116340 154140 174510 203318 231210 304977 349020 406636 462420 508295 609954 711613 914931 1016590 1219908 1423226 1524885 1829862 2033180 2134839 2846452 3049770 3558065 3659724 4269678 4574655 6099540 6404517 7116130 8539356 9149310 10674195 12809034 14232260 18298620 21348390 25618068 32022585 42696780 64045170 128090340