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30630006 = 23211372113
BaseRepresentation
bin111010011011…
…0000001110110
32010122011110200
41310312001312
530320130011
63012301330
7521231211
oct164660166
963564420
1030630006
1116320860
12a311846
136465984
1440d4778
152a50856
hex1d36076

30630006 has 72 divisors (see below), whose sum is σ = 75066264. Its totient is φ = 8951040.

The previous prime is 30629999. The next prime is 30630011. The reversal of 30630006 is 60003603.

30630006 is a `hidden beast` number, since 30 + 630 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 271006 + ... + 271118.

It is an arithmetic number, because the mean of its divisors is an integer number (1042587).

Almost surely, 230630006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30630006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37533132).

30630006 is an abundant number, since it is smaller than the sum of its proper divisors (44436258).

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

30630006 is a wasteful number, since it uses less digits than its factorization.

30630006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 30630006 is about 5534.4381828692. The cubic root of 30630006 is about 312.8832835211.

Adding to 30630006 its reverse (60003603), we get a palindrome (90633609).

It can be divided in two parts, 30 and 630006, that added together give a palindrome (630036).

The spelling of 30630006 in words is "thirty million, six hundred thirty thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 113 198 222 226 333 339 407 666 678 814 1017 1221 1243 1369 2034 2442 2486 2738 3663 3729 4107 4181 7326 7458 8214 8362 11187 12321 12543 15059 22374 24642 25086 30118 37629 45177 45991 75258 90354 91982 135531 137973 154697 271062 275946 309394 413919 464091 827838 928182 1392273 1701667 2784546 3403334 5105001 10210002 15315003 30630006