Search a number
-
+
106780230 = 232517101691
BaseRepresentation
bin1100101110101…
…01011001000110
321102220222221100
412113111121012
5204313431410
614332400530
72434421424
oct627253106
9242828840
10106780230
1155302627
122b916146
131917898b
1410278114
1595938c0
hex65d5646

106780230 has 96 divisors (see below), whose sum is σ = 297299808. Its totient is φ = 26496000.

The previous prime is 106780207. The next prime is 106780243. The reversal of 106780230 is 32087601.

It is a super-2 number, since 2×1067802302 = 22804035037705800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106780194 and 106780203.

It is a congruent 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, 154185 + ... + 154875.

It is an arithmetic number, because the mean of its divisors is an integer number (3096873).

Almost surely, 2106780230 is an apocalyptic number.

106780230 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 106780230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148649904).

106780230 is an abundant number, since it is smaller than the sum of its proper divisors (190519578).

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

106780230 is a wasteful number, since it uses less digits than its factorization.

106780230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106780230 is about 10333.4519885661. The cubic root of 106780230 is about 474.4206861799.

The spelling of 106780230 in words is "one hundred six million, seven hundred eighty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 101 102 153 170 202 255 303 306 505 510 606 691 765 909 1010 1382 1515 1530 1717 1818 2073 3030 3434 3455 4146 4545 5151 6219 6910 8585 9090 10302 10365 11747 12438 15453 17170 20730 23494 25755 30906 31095 35241 51510 58735 62190 69791 70482 77265 105723 117470 139582 154530 176205 209373 211446 348955 352410 418746 528615 628119 697910 1046865 1057230 1186447 1256238 2093730 2372894 3140595 3559341 5932235 6281190 7118682 10678023 11864470 17796705 21356046 35593410 53390115 106780230