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23488530 = 23513229263
BaseRepresentation
bin101100110011…
…0100000010010
31122012100012120
41121212200102
522003113110
62155235110
7403435452
oct131464022
948170176
1023488530
111229330a
127a48a96
134b35250
143195d62
1520de870
hex1666812

23488530 has 64 divisors (see below), whose sum is σ = 61205760. Its totient is φ = 5734656.

The previous prime is 23488529. The next prime is 23488547. The reversal of 23488530 is 3588432.

It is a super-3 number, since 3×234885303 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 23488491 and 23488500.

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, 89179 + ... + 89441.

It is an arithmetic number, because the mean of its divisors is an integer number (956340).

Almost surely, 223488530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23488530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30602880).

23488530 is an abundant number, since it is smaller than the sum of its proper divisors (37717230).

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

23488530 is a wasteful number, since it uses less digits than its factorization.

23488530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 23488530 is about 4846.4966728556. The cubic root of 23488530 is about 286.3861070344.

It can be divided in two parts, 2348 and 8530, that added together give a triangular number (10878 = T147).

The spelling of 23488530 in words is "twenty-three million, four hundred eighty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 229 263 390 458 526 687 789 1145 1315 1374 1578 2290 2630 2977 3419 3435 3945 5954 6838 6870 7890 8931 10257 14885 17095 17862 20514 29770 34190 44655 51285 60227 89310 102570 120454 180681 301135 361362 602270 782951 903405 1565902 1806810 2348853 3914755 4697706 7829510 11744265 23488530