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10084350 = 2352233779
BaseRepresentation
bin100110011101…
…111111111110
3200222100010110
4212131333332
510040144400
61000050450
7151500303
oct46357776
920870113
1010084350
115768581
123463a26
132121093
1414a70aa
15d42e50
hex99dffe

10084350 has 96 divisors (see below), whose sum is σ = 27141120. Its totient is φ = 2471040.

The previous prime is 10084297. The next prime is 10084351. The reversal of 10084350 is 5348001.

It is a super-2 number, since 2×100843502 = 203388229845000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127611 + ... + 127689.

It is an arithmetic number, because the mean of its divisors is an integer number (282720).

Almost surely, 210084350 is an apocalyptic number.

10084350 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 10084350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570560).

10084350 is an abundant number, since it is smaller than the sum of its proper divisors (17056770).

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

10084350 is a wasteful number, since it uses less digits than its factorization.

10084350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10084350 is about 3175.5865599917. The cubic root of 10084350 is about 216.0475289785.

The spelling of 10084350 in words is "ten million, eighty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 37 46 50 69 74 75 79 111 115 138 150 158 185 222 230 237 345 370 395 474 555 575 690 790 851 925 1110 1150 1185 1702 1725 1817 1850 1975 2370 2553 2775 2923 3450 3634 3950 4255 5106 5451 5550 5846 5925 8510 8769 9085 10902 11850 12765 14615 17538 18170 21275 25530 27255 29230 42550 43845 45425 54510 63825 67229 73075 87690 90850 127650 134458 136275 146150 201687 219225 272550 336145 403374 438450 672290 1008435 1680725 2016870 3361450 5042175 10084350