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1140711390 = 2335713172731
BaseRepresentation
bin100001111111101…
…1101111111011110
32221111110010212000
41003333131333132
54314010231030
6305105223130
740160613120
oct10377357736
92844403760
101140711390
115359a1395
1227a031aa6
13152436270
14ab6d9210
156a228860
hex43fddfde

1140711390 has 256 divisors, whose sum is σ = 3965552640. Its totient is φ = 226437120.

The previous prime is 1140711349. The next prime is 1140711391. The reversal of 1140711390 is 931170411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140711391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416325 + ... + 419055.

It is an arithmetic number, because the mean of its divisors is an integer number (15490440).

Almost surely, 21140711390 is an apocalyptic number.

1140711390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140711390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982776320).

1140711390 is an abundant number, since it is smaller than the sum of its proper divisors (2824841250).

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

1140711390 is a wasteful number, since it uses less digits than its factorization.

1140711390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1140711390 is about 33774.4191659901. The cubic root of 1140711390 is about 1044.8611767390.

The spelling of 1140711390 in words is "one billion, one hundred forty million, seven hundred eleven thousand, three hundred ninety".