Search a number
-
+
121238416 = 24131035659
BaseRepresentation
bin1110011100111…
…11001110010000
322110010112211201
413032133032100
5222014112131
620010320544
73001336525
oct716371620
9273115751
10121238416
1162488242
1234729154
131c16b810
141215d14c
15a99c761
hex739f390

121238416 has 40 divisors (see below), whose sum is σ = 255469760. Its totient is φ = 55403136.

The previous prime is 121238399. The next prime is 121238431. The reversal of 121238416 is 614832121.

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, 18595 + ... + 24253.

It is an arithmetic number, because the mean of its divisors is an integer number (6386744).

Almost surely, 2121238416 is an apocalyptic number.

121238416 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 121238416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127734880).

121238416 is an abundant number, since it is smaller than the sum of its proper divisors (134231344).

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

121238416 is a wasteful number, since it uses less digits than its factorization.

121238416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5777 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 121238416 is about 11010.8317578646. The cubic root of 121238416 is about 494.9333869481.

The spelling of 121238416 in words is "one hundred twenty-one million, two hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 412 824 1339 1648 2678 5356 5659 10712 11318 21424 22636 45272 73567 90544 147134 294268 582877 588536 1165754 1177072 2331508 4663016 7577401 9326032 15154802 30309604 60619208 121238416