Search a number
-
+
1420068288 = 263293761113
BaseRepresentation
bin101010010100100…
…1000010111000000
310122222002221110210
41110221020113000
510402014141123
6352524554120
750122244532
oct12451102700
93588087423
101420068288
11669656361
123376b2940
13198286cc2
14d6857852
1584a0ae93
hex54a485c0

1420068288 has 224 divisors, whose sum is σ = 4093220160. Its totient is φ = 433520640.

The previous prime is 1420068281. The next prime is 1420068289. The reversal of 1420068288 is 8828600241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420068281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12566920 + ... + 12567032.

Almost surely, 21420068288 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 1420068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046610080).

1420068288 is an abundant number, since it is smaller than the sum of its proper divisors (2673151872).

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

1420068288 is a wasteful number, since it uses less digits than its factorization.

1420068288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 1420068288 is about 37683.7934396207. The cubic root of 1420068288 is about 1124.0088819517.

The spelling of 1420068288 in words is "one billion, four hundred twenty million, sixty-eight thousand, two hundred eighty-eight".