Search a number
-
+
23514030 = 2335731193
BaseRepresentation
bin101100110110…
…0101110101110
31122020122012000
41121230232232
522004422110
62155553130
7403603011
oct131545656
948218160
1023514030
1112300491
127a5b7a6
134b43a37
1431a1378
1520e71c0
hex166cbae

23514030 has 64 divisors (see below), whose sum is σ = 63616320. Its totient is φ = 6179328.

The previous prime is 23514019. The next prime is 23514031. The reversal of 23514030 is 3041532.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23513994 and 23514012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23514031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19114 + ... + 20306.

It is an arithmetic number, because the mean of its divisors is an integer number (994005).

Almost surely, 223514030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23514030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31808160).

23514030 is an abundant number, since it is smaller than the sum of its proper divisors (40102290).

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

23514030 is a wasteful number, since it uses less digits than its factorization.

23514030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23514030 is about 4849.1267255043. The cubic root of 23514030 is about 286.4897066009.

Adding to 23514030 its reverse (3041532), we get a palindrome (26555562).

The spelling of 23514030 in words is "twenty-three million, five hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 657 730 1095 1193 1314 1971 2190 2386 3285 3579 3942 5965 6570 7158 9855 10737 11930 17895 19710 21474 32211 35790 53685 64422 87089 107370 161055 174178 261267 322110 435445 522534 783801 870890 1306335 1567602 2351403 2612670 3919005 4702806 7838010 11757015 23514030