Search a number
-
+
201004416 = 273419387
BaseRepresentation
bin10111111101100…
…01010110000000
3112000020002020000
423332301112000
5402424120131
631540120000
74660336464
oct1376612600
9460202200
10201004416
11a3509658
1257396000
1332849532
141c9a44a4
15129a6ce6
hexbfb1580

201004416 has 80 divisors (see below), whose sum is σ = 598216740. Its totient is φ = 66998016.

The previous prime is 201004411. The next prime is 201004417. The reversal of 201004416 is 614400102.

201004416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201004411) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 675 + ... + 20061.

Almost surely, 2201004416 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 201004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299108370).

201004416 is an abundant number, since it is smaller than the sum of its proper divisors (397212324).

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

201004416 is an equidigital number, since it uses as much as digits as its factorization.

201004416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19413 (or 19392 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201004416 is about 14177.6026182144. The cubic root of 201004416 is about 585.7808901001.

Adding to 201004416 its reverse (614400102), we get a palindrome (815404518).

The spelling of 201004416 in words is "two hundred one million, four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 19387 38774 58161 77548 116322 155096 174483 232644 310192 348966 465288 523449 620384 697932 930576 1046898 1240768 1395864 1570347 1861152 2093796 2481536 2791728 3140694 3722304 4187592 5583456 6281388 7444608 8375184 11166912 12562776 16750368 22333824 25125552 33500736 50251104 67001472 100502208 201004416