Search a number
-
+
23679216 = 2434112151
BaseRepresentation
bin101101001010…
…1000011110000
31122120000210000
41122111003300
522030213331
62203310000
7405161421
oct132250360
948500700
1023679216
1112403600
127b1b300
134ba0c92
143205648
15212b0e6
hex16950f0

23679216 has 150 divisors (see below), whose sum is σ = 75830216. Its totient is φ = 7128000.

The previous prime is 23679179. The next prime is 23679233. The reversal of 23679216 is 61297632.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156741 + ... + 156891.

Almost surely, 223679216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23679216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37915108).

23679216 is an abundant number, since it is smaller than the sum of its proper divisors (52151000).

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

23679216 is a wasteful number, since it uses less digits than its factorization.

23679216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 23679216 is about 4866.1294680680. The cubic root of 23679216 is about 287.1590049157.

23679216 divided by its sum of digits (36) gives a palindrome (657756).

The spelling of 23679216 in words is "twenty-three million, six hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 151 162 176 198 216 242 264 297 302 324 363 396 432 453 484 528 594 604 648 726 792 891 906 968 1089 1188 1208 1296 1359 1452 1584 1661 1782 1812 1936 2178 2376 2416 2718 2904 3267 3322 3564 3624 4077 4356 4752 4983 5436 5808 6534 6644 7128 7248 8154 8712 9801 9966 10872 12231 13068 13288 14256 14949 16308 17424 18271 19602 19932 21744 24462 26136 26576 29898 32616 36542 39204 39864 44847 48924 52272 54813 59796 65232 73084 78408 79728 89694 97848 109626 119592 134541 146168 156816 164439 179388 195696 219252 239184 269082 292336 328878 358776 438504 493317 538164 657756 717552 877008 986634 1076328 1315512 1479951 1973268 2152656 2631024 2959902 3946536 5919804 7893072 11839608 23679216