Search a number
-
+
10070830 = 2571122941
BaseRepresentation
bin100110011010…
…101100101110
3200221122120201
4212122230232
510034231310
6555504114
7151413010
oct46325456
920848521
1010070830
115759400
12345803a
132117b93
1414a21b0
15d3de3a
hex99ab2e

10070830 has 96 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 2956800.

The previous prime is 10070813. The next prime is 10070833. The reversal of 10070830 is 3807001.

It is a junction number, because it is equal to n+sod(n) for n = 10070798 and 10070807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10070833) 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 47 ways as a sum of consecutive naturals, for example, 245610 + ... + 245650.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 210070830 is an apocalyptic number.

10070830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10070830 is an abundant number, since it is smaller than the sum of its proper divisors (14060690).

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

10070830 is a wasteful number, since it uses less digits than its factorization.

10070830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10070830 is about 3173.4571054293. The cubic root of 10070830 is about 215.9509347860.

Adding to 10070830 its reverse (3807001), we get a palindrome (13877831).

The spelling of 10070830 in words is "ten million, seventy thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 29 35 41 55 58 70 77 82 110 121 145 154 203 205 242 287 290 319 385 406 410 451 574 605 638 770 847 902 1015 1189 1210 1435 1595 1694 2030 2233 2255 2378 2870 3157 3190 3509 4235 4466 4510 4961 5945 6314 7018 8323 8470 9922 11165 11890 13079 15785 16646 17545 22330 24563 24805 26158 31570 34727 35090 41615 49126 49610 65395 69454 83230 91553 122815 130790 143869 173635 183106 245630 287738 347270 457765 719345 915530 1007083 1438690 2014166 5035415 10070830