Search a number
-
+
1420021216 = 253110114173
BaseRepresentation
bin101010010100011…
…1100110111100000
310122222000112220101
41110220330313200
510402011134331
6352523552144
750121660355
oct12450746740
93588015811
101420021216
11669623a59
1233768b654
1319826b753
14d684462c
15849ec061
hex54a3cde0

1420021216 has 48 divisors (see below), whose sum is σ = 2914627968. Its totient is φ = 680256000.

The previous prime is 1420021189. The next prime is 1420021241. The reversal of 1420021216 is 6121200241.

It is a junction number, because it is equal to n+sod(n) for n = 1420021193 and 1420021202.

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, 93106 + ... + 107278.

It is an arithmetic number, because the mean of its divisors is an integer number (60721416).

Almost surely, 21420021216 is an apocalyptic number.

1420021216 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 1420021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457313984).

1420021216 is an abundant number, since it is smaller than the sum of its proper divisors (1494606752).

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

1420021216 is a wasteful number, since it uses less digits than its factorization.

1420021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14315 (or 14307 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1420021216 is about 37683.1688688730. The cubic root of 1420021216 is about 1123.9964623775.

Adding to 1420021216 its reverse (6121200241), we get a palindrome (7541221457).

The spelling of 1420021216 in words is "one billion, four hundred twenty million, twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 101 124 202 248 404 496 808 992 1616 3131 3232 6262 12524 14173 25048 28346 50096 56692 100192 113384 226768 439363 453536 878726 1431473 1757452 2862946 3514904 5725892 7029808 11451784 14059616 22903568 44375663 45807136 88751326 177502652 355005304 710010608 1420021216