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24117930 = 23251731549
BaseRepresentation
bin101110000000…
…0001010101010
31200101022120200
41130000022222
522133233210
62220533030
7411666444
oct134001252
950338520
1024117930
1112683181
1280b1176
134cc5885
1432bb494
1521b60c0
hex17002aa

24117930 has 48 divisors (see below), whose sum is σ = 63109800. Its totient is φ = 6390144.

The previous prime is 24117901. The next prime is 24117971. The reversal of 24117930 is 3971142.

It can be written as a sum of positive squares in 4 ways, for example, as 21930489 + 2187441 = 4683^2 + 1479^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 24117894 and 24117903.

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, 14796 + ... + 16344.

Almost surely, 224117930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24117930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31554900).

24117930 is an abundant number, since it is smaller than the sum of its proper divisors (38991870).

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

24117930 is a wasteful number, since it uses less digits than its factorization.

24117930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 24117930 is about 4911.0009163102. Note that the first 3 decimals coincide. The cubic root of 24117930 is about 288.9215992437.

The spelling of 24117930 in words is "twenty-four million, one hundred seventeen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1549 1557 1730 2595 3098 3114 4647 5190 7745 7785 9294 13941 15490 15570 23235 27882 46470 69705 139410 267977 535954 803931 1339885 1607862 2411793 2679770 4019655 4823586 8039310 12058965 24117930