Search a number
-
+
128742936 = 23371953761
BaseRepresentation
bin1111010110001…
…11011000011000
322222020211002220
413223013120120
5230424233221
620435224040
73122203560
oct753073030
9288224086
10128742936
1166743523
1237148020
132089856a
1413153da0
15b4810c6
hex7ac7618

128742936 has 128 divisors (see below), whose sum is σ = 395020800. Its totient is φ = 34145280.

The previous prime is 128742931. The next prime is 128742949. The reversal of 128742936 is 639247821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128742931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168796 + ... + 169556.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2128742936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128742936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197510400).

128742936 is an abundant number, since it is smaller than the sum of its proper divisors (266277864).

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

128742936 is a wasteful number, since it uses less digits than its factorization.

128742936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 128742936 is about 11346.4944366090. The cubic root of 128742936 is about 504.9415819756.

The spelling of 128742936 in words is "one hundred twenty-eight million, seven hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 53 56 57 76 84 106 114 133 152 159 168 212 228 266 318 371 399 424 456 532 636 742 761 798 1007 1064 1113 1272 1484 1522 1596 2014 2226 2283 2968 3021 3044 3192 4028 4452 4566 5327 6042 6088 7049 8056 8904 9132 10654 12084 14098 14459 15981 18264 21147 21308 24168 28196 28918 31962 40333 42294 42616 43377 56392 57836 63924 80666 84588 86754 101213 115672 120999 127848 161332 169176 173508 202426 241998 282331 303639 322664 347016 404852 483996 564662 607278 766327 809704 846993 967992 1129324 1214556 1532654 1693986 2258648 2298981 2429112 3065308 3387972 4597962 5364289 6130616 6775944 9195924 10728578 16092867 18391848 21457156 32185734 42914312 64371468 128742936