[go: up one dir, main page]

Search a number
-
+
128237936 = 24173371399
BaseRepresentation
bin1111010010011…
…00000101110000
322221022011101012
413221030011300
5230312103221
620420330052
73115001351
oct751140560
9287264335
10128237936
1166429072
1236b43928
132074c748
1413061d28
15b3d165b
hex7a4c170

128237936 has 40 divisors (see below), whose sum is σ = 264045600. Its totient is φ = 60125184.

The previous prime is 128237909. The next prime is 128237947. The reversal of 128237936 is 639732821.

It is a junction number, because it is equal to n+sod(n) for n = 128237893 and 128237902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90965 + ... + 92363.

It is an arithmetic number, because the mean of its divisors is an integer number (6601140).

Almost surely, 2128237936 is an apocalyptic number.

128237936 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 128237936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132022800).

128237936 is an abundant number, since it is smaller than the sum of its proper divisors (135807664).

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

128237936 is a wasteful number, since it uses less digits than its factorization.

128237936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1755 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 128237936 is about 11324.2190017678. The cubic root of 128237936 is about 504.2804980986.

The spelling of 128237936 in words is "one hundred twenty-eight million, two hundred thirty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 337 674 1348 1399 2696 2798 5392 5596 5729 11192 11458 22384 22916 23783 45832 47566 91664 95132 190264 380528 471463 942926 1885852 3771704 7543408 8014871 16029742 32059484 64118968 128237936