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1140397440 = 273571361107
BaseRepresentation
bin100001111111001…
…0001010110000000
32221110212012012020
41003332101112000
54313420204230
6305054401440
740155134610
oct10376212600
92843765166
101140397440
115357a7526
12279b00280
131523563b0
14ab656a40
156a1b5810
hex43f91580

1140397440 has 512 divisors, whose sum is σ = 4589706240. Its totient is φ = 234455040.

The previous prime is 1140397429. The next prime is 1140397463. The reversal of 1140397440 is 447930411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10657867 + ... + 10657973.

It is an arithmetic number, because the mean of its divisors is an integer number (8964270).

Almost surely, 21140397440 is an apocalyptic number.

1140397440 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 1140397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294853120).

1140397440 is an abundant number, since it is smaller than the sum of its proper divisors (3449308800).

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

1140397440 is a wasteful number, since it uses less digits than its factorization.

1140397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1140397440 is about 33769.7710978325. The cubic root of 1140397440 is about 1044.7653113378.

The spelling of 1140397440 in words is "one billion, one hundred forty million, three hundred ninety-seven thousand, four hundred forty".