Search a number
-
+
121440288 = 2538315241
BaseRepresentation
bin1110011110100…
…00100000100000
322110111210202110
413033100200200
5222042042123
620014515320
73003140214
oct717204040
9273453673
10121440288
1162605982
1234805b40
131c20c678
14121b2944
15a9dc493
hex73d0820

121440288 has 48 divisors (see below), whose sum is σ = 322642656. Its totient is φ = 39989760.

The previous prime is 121440281. The next prime is 121440307. The reversal of 121440288 is 882044121.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (121440281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348 + ... + 15588.

It is an arithmetic number, because the mean of its divisors is an integer number (6721722).

Almost surely, 2121440288 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 121440288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161321328).

121440288 is an abundant number, since it is smaller than the sum of its proper divisors (201202368).

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

121440288 is a wasteful number, since it uses less digits than its factorization.

121440288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15337 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 121440288 is about 11019.9949183291. The cubic root of 121440288 is about 495.2079363103.

The spelling of 121440288 in words is "one hundred twenty-one million, four hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 15241 30482 45723 60964 91446 121928 182892 243856 365784 487712 731568 1265003 1463136 2530006 3795009 5060012 7590018 10120024 15180036 20240048 30360072 40480096 60720144 121440288