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10082190 = 2351753373
BaseRepresentation
bin100110011101…
…011110001110
3200222020011110
4212131132032
510040112230
61000032450
7151461066
oct46353616
920866143
1010082190
115766998
123462726
1321200c1
1414a63a6
15d424b0
hex99d78e

10082190 has 64 divisors (see below), whose sum is σ = 26174016. Its totient is φ = 2476032.

The previous prime is 10082129. The next prime is 10082203. The reversal of 10082190 is 9128001.

It is a super-2 number, since 2×100821902 = 203301110392200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26844 + ... + 27216.

It is an arithmetic number, because the mean of its divisors is an integer number (408969).

Almost surely, 210082190 is an apocalyptic number.

10082190 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 10082190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13087008).

10082190 is an abundant number, since it is smaller than the sum of its proper divisors (16091826).

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

10082190 is a wasteful number, since it uses less digits than its factorization.

10082190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 10082190 is about 3175.2464471282. The cubic root of 10082190 is about 216.0321025674.

The spelling of 10082190 in words is "ten million, eighty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 318 373 510 530 746 795 901 1119 1590 1802 1865 2238 2703 3730 4505 5406 5595 6341 9010 11190 12682 13515 19023 19769 27030 31705 38046 39538 59307 63410 95115 98845 118614 190230 197690 296535 336073 593070 672146 1008219 1680365 2016438 3360730 5041095 10082190