Search a number
-
+
23706020 = 22513731249
BaseRepresentation
bin101101001101…
…1100110100100
31122121101112202
41122123212210
522032043040
62204034032
7405332522
oct132334644
948541482
1023706020
1112421758
127b32918
134bb0240
143211312
152134015
hex169b9a4

23706020 has 48 divisors (see below), whose sum is σ = 54390000. Its totient is φ = 8626176.

The previous prime is 23705989. The next prime is 23706037. The reversal of 23706020 is 2060732.

23706020 = T2 + T3 + ... + T521.

It can be written as a sum of positive squares in 8 ways, for example, as 1784896 + 21921124 = 1336^2 + 4682^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23705983 and 23706001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18356 + ... + 19604.

It is an arithmetic number, because the mean of its divisors is an integer number (1133125).

Almost surely, 223706020 is an apocalyptic number.

23706020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23706020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27195000).

23706020 is an abundant number, since it is smaller than the sum of its proper divisors (30683980).

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

23706020 is a wasteful number, since it uses less digits than its factorization.

23706020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 23706020 is about 4868.8828287401. The cubic root of 23706020 is about 287.2673151957.

Adding to 23706020 its reverse (2060732), we get a palindrome (25766752).

The spelling of 23706020 in words is "twenty-three million, seven hundred six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1249 1460 1898 2498 3796 4745 4996 6245 9490 12490 16237 18980 24980 32474 64948 81185 91177 162370 182354 324740 364708 455885 911770 1185301 1823540 2370602 4741204 5926505 11853010 23706020