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107029230 = 23572116619
BaseRepresentation
bin1100110000100…
…10001011101110
321110101122111120
412120102023232
5204344413410
614342001410
72436506400
oct630221356
9243348446
10107029230
1155462710
122ba16266
1319235109
1410300b70
1595e2570
hex66122ee

107029230 has 96 divisors (see below), whose sum is σ = 326021760. Its totient is φ = 22236480.

The previous prime is 107029213. The next prime is 107029259. The reversal of 107029230 is 32920701.

It is a super-2 number, since 2×1070292302 = 22910512148785800, which contains 22 as substring.

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 107029230.

It is a congruent number.

It is an unprimeable number.

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, 12861 + ... + 19479.

It is an arithmetic number, because the mean of its divisors is an integer number (3396060).

Almost surely, 2107029230 is an apocalyptic number.

107029230 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 107029230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163010880).

107029230 is an abundant number, since it is smaller than the sum of its proper divisors (218992530).

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

107029230 is a wasteful number, since it uses less digits than its factorization.

107029230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6654 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 107029230 is about 10345.4932216884. The cubic root of 107029230 is about 474.7891658972.

Adding to 107029230 its reverse (32920701), we get a palindrome (139949931).

The spelling of 107029230 in words is "one hundred seven million, twenty-nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 6619 8085 13238 16170 19857 33095 39714 46333 66190 72809 92666 99285 138999 145618 198570 218427 231665 277998 324331 364045 436854 463330 509663 648662 694995 728090 972993 1019326 1092135 1389990 1528989 1621655 1945986 2184270 2548315 3057978 3243310 3567641 4864965 5096630 7135282 7644945 9729930 10702923 15289890 17838205 21405846 35676410 53514615 107029230