Search a number
-
+
30873258 = 23313217199
BaseRepresentation
bin111010111000…
…1011010101010
32011002112011000
41311301122222
530400421013
63021415430
7523263333
oct165613252
964075130
1030873258
1116477599
12a40a576
13651c600
14415928a
152a9c973
hex1d716aa

30873258 has 96 divisors (see below), whose sum is σ = 79056000. Its totient is φ = 8895744.

The previous prime is 30873253. The next prime is 30873263. The reversal of 30873258 is 85237803.

It is an interprime number because it is at equal distance from previous prime (30873253) and next prime (30873263).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30873253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155043 + ... + 155241.

It is an arithmetic number, because the mean of its divisors is an integer number (823500).

Almost surely, 230873258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30873258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39528000).

30873258 is an abundant number, since it is smaller than the sum of its proper divisors (48182742).

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

30873258 is a wasteful number, since it uses less digits than its factorization.

30873258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 30873258 is about 5556.3709379414. The cubic root of 30873258 is about 313.7093677110.

The spelling of 30873258 in words is "thirty million, eight hundred seventy-three thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 169 199 221 234 306 338 351 398 442 459 507 597 663 702 918 1014 1194 1326 1521 1791 1989 2587 2873 3042 3383 3582 3978 4563 5174 5373 5746 5967 6766 7761 8619 9126 10149 10746 11934 15522 17238 20298 23283 25857 30447 33631 43979 46566 51714 60894 67262 69849 77571 87958 91341 100893 131937 139698 155142 182682 201786 263874 302679 395811 571727 605358 791622 908037 1143454 1187433 1715181 1816074 2374866 3430362 5145543 10291086 15436629 30873258