Search a number
-
+
30468510 = 2325437873
BaseRepresentation
bin111010000111…
…0100110011110
32010022221221100
41310032212132
530244443020
63005013530
7516656322
oct164164636
963287840
1030468510
1116220496
12a2542a6
13640a307
144091982
152a1ca90
hex1d0e99e

30468510 has 48 divisors (see below), whose sum is σ = 81070704. Its totient is φ = 7934976.

The previous prime is 30468509. The next prime is 30468523. The reversal of 30468510 is 1586403.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67 + ... + 7806.

It is an arithmetic number, because the mean of its divisors is an integer number (1688973).

Almost surely, 230468510 is an apocalyptic number.

30468510 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 30468510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40535352).

30468510 is an abundant number, since it is smaller than the sum of its proper divisors (50602194).

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

30468510 is a wasteful number, since it uses less digits than its factorization.

30468510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7929 (or 7926 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30468510 is about 5519.8288016930. The cubic root of 30468510 is about 312.3324242882.

The spelling of 30468510 in words is "thirty million, four hundred sixty-eight thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 7873 15746 23619 39365 47238 70857 78730 118095 141714 236190 338539 354285 677078 708570 1015617 1692695 2031234 3046851 3385390 5078085 6093702 10156170 15234255 30468510