Search a number
-
+
1002946896 = 243272307463
BaseRepresentation
bin111011110001111…
…100000101010000
32120220012222111100
4323301330011100
54023223300041
6243304344400
733565623300
oct7361740520
92526188440
101002946896
11475156936
1223ba75100
1312ca2c603
14972b7600
155d0b46b6
hex3bc7c150

1002946896 has 180 divisors, whose sum is σ = 3282831552. Its totient is φ = 285005952.

The previous prime is 1002946891. The next prime is 1002946907. The reversal of 1002946896 is 6986492001.

It is a happy number.

1002946896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002946891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2165961 + ... + 2166423.

Almost surely, 21002946896 is an apocalyptic number.

1002946896 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 1002946896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641415776).

1002946896 is an abundant number, since it is smaller than the sum of its proper divisors (2279884656).

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

1002946896 is a wasteful number, since it uses less digits than its factorization.

1002946896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1002946896 is about 31669.3368418096. The cubic root of 1002946896 is about 1000.9813353326.

The spelling of 1002946896 in words is "one billion, two million, nine hundred forty-six thousand, eight hundred ninety-six".