Search a number
-
+
30382506 = 2337117307
BaseRepresentation
bin111001111100…
…1100110101010
32010011120222000
41303321212222
530234220011
63003111430
7516150510
oct163714652
963146860
1030382506
1116171910
12a212576
1363aa11b
14406c4b0
152a02356
hex1cf99aa

30382506 has 64 divisors (see below), whose sum is σ = 84188160. Its totient is φ = 7890480.

The previous prime is 30382487. The next prime is 30382537. The reversal of 30382506 is 60528303.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30382506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505 + ... + 7811.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 230382506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30382506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42094080).

30382506 is an abundant number, since it is smaller than the sum of its proper divisors (53805654).

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

30382506 is a wasteful number, since it uses less digits than its factorization.

30382506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30382506 is about 5512.0328373478. The cubic root of 30382506 is about 312.0382719323.

The spelling of 30382506 in words is "thirty million, three hundred eighty-two thousand, five hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 7307 14614 21921 43842 51149 65763 80377 102298 131526 153447 160754 197289 241131 306894 394578 460341 482262 562639 723393 920682 1125278 1381023 1446786 1687917 2170179 2762046 3375834 4340358 5063751 10127502 15191253 30382506