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103413450 = 23527149661
BaseRepresentation
bin1100010100111…
…11011011001010
321012120221120210
412022133123022
5202433212300
614132301550
72363666640
oct612373312
9235527523
10103413450
1153413068
122a7718b6
131856a3ba
14da3d190
15912b050
hex629f6ca

103413450 has 96 divisors (see below), whose sum is σ = 295516800. Its totient is φ = 23443200.

The previous prime is 103413389. The next prime is 103413463. The reversal of 103413450 is 54314301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156120 + ... + 156780.

It is an arithmetic number, because the mean of its divisors is an integer number (3078300).

Almost surely, 2103413450 is an apocalyptic number.

103413450 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 103413450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147758400).

103413450 is an abundant number, since it is smaller than the sum of its proper divisors (192103350).

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

103413450 is a wasteful number, since it uses less digits than its factorization.

103413450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 103413450 is about 10169.2403846108. The cubic root of 103413450 is about 469.3811834921.

Adding to 103413450 its reverse (54314301), we get a palindrome (157727751).

The spelling of 103413450 in words is "one hundred three million, four hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 149 150 175 210 298 350 447 525 661 745 894 1043 1050 1322 1490 1983 2086 2235 3129 3305 3725 3966 4470 4627 5215 6258 6610 7450 9254 9915 10430 11175 13881 15645 16525 19830 22350 23135 26075 27762 31290 33050 46270 49575 52150 69405 78225 98489 99150 115675 138810 156450 196978 231350 295467 347025 492445 590934 689423 694050 984890 1378846 1477335 2068269 2462225 2954670 3447115 4136538 4924450 6894230 7386675 10341345 14773350 17235575 20682690 34471150 51706725 103413450