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103040406 = 23271137237
BaseRepresentation
bin1100010010001…
…00010110010110
321011212222212100
412021010112112
5202334243111
614120302530
72360554230
oct611042626
9234788770
10103040406
1153188867
122a611a46
1318469671
14d983250
1590a5756
hex6244596

103040406 has 48 divisors (see below), whose sum is σ = 257441184. Its totient is φ = 29175552.

The previous prime is 103040381. The next prime is 103040419. The reversal of 103040406 is 604040301.

103040406 = T61 + T62 + ... + T851.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10620 + ... + 17856.

It is an arithmetic number, because the mean of its divisors is an integer number (5363358).

Almost surely, 2103040406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103040406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128720592).

103040406 is an abundant number, since it is smaller than the sum of its proper divisors (154400778).

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

103040406 is a wasteful number, since it uses less digits than its factorization.

103040406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7362 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103040406 is about 10150.8820306415. The cubic root of 103040406 is about 468.8161028911.

Adding to 103040406 its reverse (604040301), we get a palindrome (707080707).

The spelling of 103040406 in words is "one hundred three million, forty thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 2034 2373 4746 7119 7237 14238 14474 21711 43422 50659 65133 101318 130266 151977 303954 455931 817781 911862 1635562 2453343 4906686 5724467 7360029 11448934 14720058 17173401 34346802 51520203 103040406