Search a number
-
+
21123312 = 243731283
BaseRepresentation
bin101000010010…
…1000011110000
31110202011201220
41100211003300
520401421222
62032425040
7344355000
oct120450360
943664656
1021123312
1110a18291
1270a8180
1344b7802
142b3c000
151cc3b5c
hex14250f0

21123312 has 80 divisors (see below), whose sum is σ = 63686400. Its totient is φ = 6030528.

The previous prime is 21123301. The next prime is 21123313. The reversal of 21123312 is 21332112.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21123291 and 21123300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15823 + ... + 17105.

It is an arithmetic number, because the mean of its divisors is an integer number (796080).

Almost surely, 221123312 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 21123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31843200).

21123312 is an abundant number, since it is smaller than the sum of its proper divisors (42563088).

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

21123312 is a wasteful number, since it uses less digits than its factorization.

21123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1295 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 21123312 is about 4596.0104438524. The cubic root of 21123312 is about 276.4313775120.

Adding to 21123312 its reverse (21332112), we get a palindrome (42455424).

The spelling of 21123312 in words is "twenty-one million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1283 1372 2058 2352 2566 2744 3849 4116 5132 5488 7698 8232 8981 10264 15396 16464 17962 20528 26943 30792 35924 53886 61584 62867 71848 107772 125734 143696 188601 215544 251468 377202 431088 440069 502936 754404 880138 1005872 1320207 1508808 1760276 2640414 3017616 3520552 5280828 7041104 10561656 21123312