Search a number
-
+
30597930 = 23251131997
BaseRepresentation
bin111010010111…
…0001100101010
32010120112110200
41310232030222
530313113210
63011453030
7521035536
oct164561452
963515420
1030597930
11162a9750
12a2b7176
1364541ac
1440c6bc6
152a460c0
hex1d2e32a

30597930 has 96 divisors (see below), whose sum is σ = 89676288. Its totient is φ = 7171200.

The previous prime is 30597913. The next prime is 30597937. The reversal of 30597930 is 3979503.

30597930 is a `hidden beast` number, since 30 + 597 + 9 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30597937) 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, 30192 + ... + 31188.

It is an arithmetic number, because the mean of its divisors is an integer number (934128).

Almost surely, 230597930 is an apocalyptic number.

30597930 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 30597930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44838144).

30597930 is an abundant number, since it is smaller than the sum of its proper divisors (59078358).

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

30597930 is a wasteful number, since it uses less digits than its factorization.

30597930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 30597930 is about 5531.5395686915. The cubic root of 30597930 is about 312.7740273719.

The spelling of 30597930 in words is "thirty million, five hundred ninety-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 997 1023 1395 1705 1994 2046 2790 2991 3069 3410 4985 5115 5982 6138 8973 9970 10230 10967 14955 15345 17946 21934 29910 30690 30907 32901 44865 54835 61814 65802 89730 92721 98703 109670 154535 164505 185442 197406 278163 309070 329010 339977 463605 493515 556326 679954 927210 987030 1019931 1390815 1699885 2039862 2781630 3059793 3399770 5099655 6119586 10199310 15298965 30597930