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1140431040 = 26325756569
BaseRepresentation
bin100001111111001…
…1001100011000000
32221110220220021200
41003332121203000
54313422243130
6305055221200
740155334560
oct10376314300
92843826250
101140431040
1153581a7a1
12279b17800
13152368788
14ab664da0
156a1c0760
hex43f998c0

1140431040 has 168 divisors, whose sum is σ = 4483059360. Its totient is φ = 260665344.

The previous prime is 1140431029. The next prime is 1140431059. The reversal of 1140431040 is 401340411.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8125 + ... + 48444.

Almost surely, 21140431040 is an apocalyptic number.

1140431040 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 1140431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241529680).

1140431040 is an abundant number, since it is smaller than the sum of its proper divisors (3342628320).

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

1140431040 is a wasteful number, since it uses less digits than its factorization.

1140431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56599 (or 56586 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1140431040 is about 33770.2685805132. The cubic root of 1140431040 is about 1044.7755720208.

Adding to 1140431040 its reverse (401340411), we get a palindrome (1541771451).

The spelling of 1140431040 in words is "one billion, one hundred forty million, four hundred thirty-one thousand, forty".