Search a number
-
+
23823630 = 23251723677
BaseRepresentation
bin101101011100…
…0010100001110
31122211100212200
41122320110032
522044324010
62210342330
7406332435
oct132702416
948740780
1023823630
11124a2056
127b8a9a6
134c2192c
14324211c
152158cc0
hex16b850e

23823630 has 96 divisors (see below), whose sum is σ = 68537664. Its totient is φ = 5710848.

The previous prime is 23823629. The next prime is 23823637. The reversal of 23823630 is 3632832.

23823630 is a `hidden beast` number, since 2 + 3 + 8 + 23 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23823594 and 23823603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23823637) 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, 34852 + ... + 35528.

It is an arithmetic number, because the mean of its divisors is an integer number (713934).

Almost surely, 223823630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23823630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34268832).

23823630 is an abundant number, since it is smaller than the sum of its proper divisors (44714034).

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

23823630 is a wasteful number, since it uses less digits than its factorization.

23823630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23823630 is about 4880.9456051056. The cubic root of 23823630 is about 287.7415940266.

The spelling of 23823630 in words is "twenty-three million, eight hundred twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 306 345 391 414 510 677 690 765 782 1035 1173 1354 1530 1955 2031 2070 2346 3385 3519 3910 4062 5865 6093 6770 7038 10155 11509 11730 12186 15571 17595 20310 23018 30465 31142 34527 35190 46713 57545 60930 69054 77855 93426 103581 115090 140139 155710 172635 207162 233565 264707 280278 345270 467130 517905 529414 700695 794121 1035810 1323535 1401390 1588242 2382363 2647070 3970605 4764726 7941210 11911815 23823630