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103411440 = 243251121187
BaseRepresentation
bin1100010100111…
…10111011110000
321012120211211100
412022132323300
5202433131230
614132244400
72363661036
oct612367360
9235524740
10103411440
1153411600
122a770700
1318569502
14da3c556
15912a660
hex629eef0

103411440 has 180 divisors, whose sum is σ = 382053672. Its totient is φ = 25048320.

The previous prime is 103411397. The next prime is 103411447. The reversal of 103411440 is 44114301.

It is a tau number, because it is divible by the number of its divisors (180).

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 (103411447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86527 + ... + 87713.

Almost surely, 2103411440 is an apocalyptic number.

103411440 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 103411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191026836).

103411440 is an abundant number, since it is smaller than the sum of its proper divisors (278642232).

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

103411440 is a wasteful number, since it uses less digits than its factorization.

103411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1208 counting only the distinct ones).

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

The square root of 103411440 is about 10169.1415566900. The cubic root of 103411440 is about 469.3781424232.

Adding to 103411440 its reverse (44114301), we get a palindrome (147525741).

It can be divided in two parts, 10341 and 1440, that added together give a triangular number (11781 = T153).

The spelling of 103411440 in words is "one hundred three million, four hundred eleven thousand, four hundred forty".