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30286932930 = 232517109181609
BaseRepresentation
bin11100001101001111…
…011110101111000010
32220011202012121100200
4130031033132233002
5444011423323210
621525202030030
72121352453002
oct341517365702
986152177320
1030286932930
1111932202a91
125a53048316
132b189692b7
1416745ba002
15bc3e060c0
hex70d3debc2

30286932930 has 96 divisors (see below), whose sum is σ = 84143545200. Its totient is φ = 7531646976.

The previous prime is 30286932899. The next prime is 30286932943. The reversal of 30286932930 is 3923968203.

It can be written as a sum of positive squares in 8 ways, for example, as 21553469721 + 8733463209 = 146811^2 + 93453^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 75966 + ... + 257574.

Almost surely, 230286932930 is an apocalyptic number.

30286932930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30286932930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42071772600).

30286932930 is an abundant number, since it is smaller than the sum of its proper divisors (53856612270).

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

30286932930 is a wasteful number, since it uses less digits than its factorization.

30286932930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181748 (or 181745 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 30286932930 in words is "thirty billion, two hundred eighty-six million, nine hundred thirty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 109 153 170 218 255 306 327 510 545 654 765 981 1090 1530 1635 1853 1962 3270 3706 4905 5559 9265 9810 11118 16677 18530 27795 33354 55590 83385 166770 181609 363218 544827 908045 1089654 1634481 1816090 2724135 3087353 3268962 5448270 6174706 8172405 9262059 15436765 16344810 18524118 19795381 27786177 30873530 39590762 46310295 55572354 59386143 92620590 98976905 118772286 138930885 178158429 197953810 277861770 296930715 336521477 356316858 593861430 673042954 890792145 1009564431 1682607385 1781584290 2019128862 3028693293 3365214770 5047822155 6057386586 10095644310 15143466465 30286932930