[go: up one dir, main page]

Search a number
-
+
1421616336 = 243738311047
BaseRepresentation
bin101010010111100…
…0010010011010000
310200002000120222220
41110233002103100
510402413210321
6353022101040
750141353020
oct12457022320
93602016886
101421616336
1166a513438
1233811a780
131986a97ca
14d6b3ba80
1584c149c6
hex54bc24d0

1421616336 has 80 divisors (see below), whose sum is σ = 4208492544. Its totient is φ = 405078912.

The previous prime is 1421616299. The next prime is 1421616341. The reversal of 1421616336 is 6336161241.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1421616297 and 1421616306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123165 + ... + 134211.

Almost surely, 21421616336 is an apocalyptic number.

1421616336 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 1421616336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104246272).

1421616336 is an abundant number, since it is smaller than the sum of its proper divisors (2786876208).

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

1421616336 is a wasteful number, since it uses less digits than its factorization.

1421616336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 11442 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 1421616336 is about 37704.3278152522. The cubic root of 1421616336 is about 1124.4171693139.

Adding to 1421616336 its reverse (6336161241), we get a palindrome (7757777577).

The spelling of 1421616336 in words is "one billion, four hundred twenty-one million, six hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 383 766 1149 1532 2298 2681 3064 4596 5362 6128 8043 9192 10724 11047 16086 18384 21448 22094 32172 33141 42896 44188 64344 66282 77329 88376 128688 132564 154658 176752 231987 265128 309316 463974 530256 618632 927948 1237264 1855896 3711792 4231001 8462002 12693003 16924004 25386006 29617007 33848008 50772012 59234014 67696016 88851021 101544024 118468028 177702042 203088048 236936056 355404084 473872112 710808168 1421616336