Search a number
-
+
86802030 = 2311572
BaseRepresentation
bin1010010110001…
…11111001101110
320001100000000000
411023013321232
5134210131110
612340245130
72102543100
oct513077156
9201300000
1086802030
1144aa7717
12250a07a6
1314ca2463
14b757570
1579491c0
hex52c7e6e

86802030 has 144 divisors (see below), whose sum is σ = 272628720. Its totient is φ = 19840464.

The previous prime is 86802029. The next prime is 86802031. The reversal of 86802030 is 3020868.

It is an interprime number because it is at equal distance from previous prime (86802029) and next prime (86802031).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 86801985 and 86802003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86802031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12400287 + ... + 12400293.

It is an arithmetic number, because the mean of its divisors is an integer number (1893255).

Almost surely, 286802030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86802030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136314360).

86802030 is an abundant number, since it is smaller than the sum of its proper divisors (185826690).

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

86802030 is an frugal number, since it uses more digits than its factorization.

86802030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86802030 is about 9316.7607031629. The cubic root of 86802030 is about 442.7684094060.

Adding to 86802030 its reverse (3020868), we get a palindrome (89822898).

The spelling of 86802030 in words is "eighty-six million, eight hundred two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 243 245 270 294 315 378 405 441 486 490 567 630 729 735 810 882 945 1134 1215 1323 1458 1470 1701 1890 2187 2205 2430 2646 2835 3402 3645 3969 4374 4410 5103 5670 6561 6615 7290 7938 8505 10206 10935 11907 13122 13230 15309 17010 19683 19845 21870 23814 25515 30618 32805 35721 39366 39690 45927 51030 59049 59535 65610 71442 76545 91854 98415 107163 118098 119070 137781 153090 177147 178605 196830 214326 229635 275562 295245 321489 354294 357210 413343 459270 535815 590490 642978 688905 826686 885735 964467 1071630 1240029 1377810 1607445 1771470 1928934 2066715 2480058 2893401 3214890 4133430 4822335 5786802 6200145 8680203 9644670 12400290 14467005 17360406 28934010 43401015 86802030