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10429350 = 2352233023
BaseRepresentation
bin100111110010…
…001110100110
3201121212101020
4213302032212
510132214400
61011312010
7154435161
oct47621646
921555336
1010429350
1159837a8
1235ab606
132212119
141556ad8
15db02a0
hex9f23a6

10429350 has 48 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 2659360.

The previous prime is 10429337. The next prime is 10429351. The reversal of 10429350 is 5392401.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10429350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1939 + ... + 4961.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 210429350 is an apocalyptic number.

10429350 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 10429350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

10429350 is an abundant number, since it is smaller than the sum of its proper divisors (16568922).

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

10429350 is a wasteful number, since it uses less digits than its factorization.

10429350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 10429350 is about 3229.4504176407. The cubic root of 10429350 is about 218.4837195305.

The spelling of 10429350 in words is "ten million, four hundred twenty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 3023 3450 6046 9069 15115 18138 30230 45345 69529 75575 90690 139058 151150 208587 226725 347645 417174 453450 695290 1042935 1738225 2085870 3476450 5214675 10429350