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1140664896 = 26337181521
BaseRepresentation
bin100001111111101…
…0010101001000000
32221111100210002000
41003333102221000
54314002234041
6305104224000
740160330430
oct10377225100
92844323060
101140664896
1153596a468
1227a00b000
1315241b057
14ab6c62c0
156a219bb6
hex43fd2a40

1140664896 has 224 divisors, whose sum is σ = 3860962560. Its totient is φ = 323481600.

The previous prime is 1140664891. The next prime is 1140664901. The reversal of 1140664896 is 6984660411.

It is an interprime number because it is at equal distance from previous prime (1140664891) and next prime (1140664901).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11406648962 = 2602232809933381632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1140664891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2189116 + ... + 2189636.

It is an arithmetic number, because the mean of its divisors is an integer number (17236440).

Almost surely, 21140664896 is an apocalyptic number.

1140664896 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 1140664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930481280).

1140664896 is an abundant number, since it is smaller than the sum of its proper divisors (2720297664).

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

1140664896 is a wasteful number, since it uses less digits than its factorization.

1140664896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1140664896 is about 33773.7308569841. The cubic root of 1140664896 is about 1044.8469807919.

The spelling of 1140664896 in words is "one billion, one hundred forty million, six hundred sixty-four thousand, eight hundred ninety-six".