Search a number
-
+
1067696420 = 2257313761109
BaseRepresentation
bin111111101000111…
…100000100100100
32202102001121010212
4333220330010210
54141312241140
6253540234552
735313161360
oct7750740444
92672047125
101067696420
114a876113a
1225969ba58
1314028033b
14a1b302a0
1563b04765
hex3fa3c124

1067696420 has 192 divisors, whose sum is σ = 2786488320. Its totient is φ = 335923200.

The previous prime is 1067696417. The next prime is 1067696437. The reversal of 1067696420 is 246967601.

1067696420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10676964202 = 2279951290561632800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9795326 + ... + 9795434.

It is an arithmetic number, because the mean of its divisors is an integer number (14512960).

Almost surely, 21067696420 is an apocalyptic number.

1067696420 is a gapful number since it is divisible by the number (10) 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 1067696420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393244160).

1067696420 is an abundant number, since it is smaller than the sum of its proper divisors (1718791900).

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

1067696420 is a wasteful number, since it uses less digits than its factorization.

1067696420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 1067696420 is about 32675.6242480538. The cubic root of 1067696420 is about 1022.0745998142.

The spelling of 1067696420 in words is "one billion, sixty-seven million, six hundred ninety-six thousand, four hundred twenty".