Search a number
-
+
23235660 = 223557683
BaseRepresentation
bin101100010100…
…0110001001100
31121201111100000
41120220301030
521422020120
62150004300
7401333310
oct130506114
947644300
1023235660
1112130328
127946690
134a77116
14312bb40
15208e990
hex1628c4c

23235660 has 144 divisors (see below), whose sum is σ = 83655936. Its totient is φ = 5303232.

The previous prime is 23235659. The next prime is 23235661. The reversal of 23235660 is 6653232.

It is an interprime number because it is at equal distance from previous prime (23235659) and next prime (23235661).

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

It is not an unprimeable number, because it can be changed into a prime (23235661) 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, 33679 + ... + 34361.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 223235660 is an apocalyptic number.

23235660 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 23235660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827968).

23235660 is an abundant number, since it is smaller than the sum of its proper divisors (60420276).

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

23235660 is a wasteful number, since it uses less digits than its factorization.

23235660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 23235660 is about 4820.3381624114. The cubic root of 23235660 is about 285.3546830668.

Adding to 23235660 its reverse (6653232), we get a palindrome (29888892).

The spelling of 23235660 in words is "twenty-three million, two hundred thirty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 683 756 810 945 972 1134 1215 1260 1366 1620 1701 1890 2049 2268 2430 2732 2835 3402 3415 3780 4098 4781 4860 5670 6147 6804 6830 8196 8505 9562 10245 11340 12294 13660 14343 17010 18441 19124 20490 23905 24588 28686 30735 34020 36882 40980 43029 47810 55323 57372 61470 71715 73764 86058 92205 95620 110646 122940 129087 143430 165969 172116 184410 215145 221292 258174 276615 286860 331938 368820 387261 430290 516348 553230 645435 663876 774522 829845 860580 1106460 1161783 1290870 1549044 1659690 1936305 2323566 2581740 3319380 3872610 4647132 5808915 7745220 11617830 23235660