Search a number
-
+
23279130 = 23357109113
BaseRepresentation
bin101100011001…
…1011000011010
31121210200222000
41120303120122
521424413010
62150541430
7401604120
oct130633032
947720860
1023279130
111215aa56
127967876
134a90b44
14313d910
15209c7c0
hex163361a

23279130 has 128 divisors (see below), whose sum is σ = 72230400. Its totient is φ = 5225472.

The previous prime is 23279089. The next prime is 23279131. The reversal of 23279130 is 3197232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23279094 and 23279103.

It is not an unprimeable number, because it can be changed into a prime (23279131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205954 + ... + 206066.

It is an arithmetic number, because the mean of its divisors is an integer number (564300).

Almost surely, 223279130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23279130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36115200).

23279130 is an abundant number, since it is smaller than the sum of its proper divisors (48951270).

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

23279130 is a wasteful number, since it uses less digits than its factorization.

23279130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 23279130 is about 4824.8450752330. The cubic root of 23279130 is about 285.5325223680.

It can be divided in two parts, 23279 and 130, that added together give a square (23409 = 1532).

The spelling of 23279130 in words is "twenty-three million, two hundred seventy-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 109 113 126 135 189 210 218 226 270 315 327 339 378 545 565 630 654 678 763 791 945 981 1017 1090 1130 1526 1582 1635 1695 1890 1962 2034 2289 2373 2943 3051 3270 3390 3815 3955 4578 4746 4905 5085 5886 6102 6867 7119 7630 7910 9810 10170 11445 11865 12317 13734 14238 14715 15255 20601 21357 22890 23730 24634 29430 30510 34335 35595 36951 41202 42714 61585 68670 71190 73902 86219 103005 106785 110853 123170 172438 184755 206010 213570 221706 258657 332559 369510 431095 517314 554265 665118 775971 862190 1108530 1293285 1551942 1662795 2327913 2586570 3325590 3879855 4655826 7759710 11639565 23279130