Search a number
-
+
23402016 = 2532118389
BaseRepresentation
bin101100101000…
…1011000100000
31122000221112100
41121101120200
521442331031
62153330400
7402625311
oct131213040
948027470
1023402016
1112234310
127a06a00
134b04a61
143172608
1520c3de6
hex1651620

23402016 has 144 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 6927360.

The previous prime is 23402009. The next prime is 23402039. The reversal of 23402016 is 61020432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23402016.

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, 262900 + ... + 262988.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 223402016 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 23402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

23402016 is an abundant number, since it is smaller than the sum of its proper divisors (50897664).

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

23402016 is a wasteful number, since it uses less digits than its factorization.

23402016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23402016 is about 4837.5630228453. The cubic root of 23402016 is about 286.0340644382.

Adding to 23402016 its reverse (61020432), we get a palindrome (84422448).

It can be divided in two parts, 2340 and 2016, that added together give a square (4356 = 662).

The spelling of 23402016 in words is "twenty-three million, four hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 83 88 89 96 99 132 144 166 176 178 198 249 264 267 288 332 352 356 396 498 528 534 664 712 747 792 801 913 979 996 1056 1068 1328 1424 1494 1584 1602 1826 1958 1992 2136 2656 2739 2848 2937 2988 3168 3204 3652 3916 3984 4272 5478 5874 5976 6408 7304 7387 7832 7968 8217 8544 8811 10956 11748 11952 12816 14608 14774 15664 16434 17622 21912 22161 23496 23904 25632 29216 29548 31328 32868 35244 43824 44322 46992 59096 65736 66483 70488 81257 87648 88644 93984 118192 131472 132966 140976 162514 177288 236384 243771 262944 265932 281952 325028 354576 487542 531864 650056 709152 731313 975084 1063728 1300112 1462626 1950168 2127456 2600224 2925252 3900336 5850504 7800672 11701008 23402016