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104131440 = 2433577197
BaseRepresentation
bin1100011010011…
…10101101110000
321020221102111000
412031032231300
5203124201230
614155522000
72403050130
oct615165560
9236842430
10104131440
1153863546
122aa59300
131875c14a
14db88ac0
15921db60
hex634eb70

104131440 has 320 divisors, whose sum is σ = 419973120. Its totient is φ = 23224320.

The previous prime is 104131439. The next prime is 104131441. The reversal of 104131440 is 44131401.

It is an interprime number because it is at equal distance from previous prime (104131439) and next prime (104131441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104131441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073472 + ... + 1073568.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2104131440 is an apocalyptic number.

104131440 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 104131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

104131440 is an abundant number, since it is smaller than the sum of its proper divisors (315841680).

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

104131440 is a wasteful number, since it uses less digits than its factorization.

104131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

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

The square root of 104131440 is about 10204.4813684969. The cubic root of 104131440 is about 470.4649691605.

Adding to 104131440 its reverse (44131401), we get a palindrome (148262841).

The spelling of 104131440 in words is "one hundred four million, one hundred thirty-one thousand, four hundred forty".