Search a number
-
+
21072312 = 2334311049
BaseRepresentation
bin101000001100…
…0100110111000
31110122120210000
41100120212320
520343303222
62031353000
7344053212
oct120304670
943576700
1021072312
1110992a38
127082760
13449a531
142b275b2
151cb39ac
hex14189b8

21072312 has 80 divisors (see below), whose sum is σ = 60984000. Its totient is φ = 6791040.

The previous prime is 21072307. The next prime is 21072329. The reversal of 21072312 is 21327012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19564 + ... + 20612.

It is an arithmetic number, because the mean of its divisors is an integer number (762300).

Almost surely, 221072312 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 21072312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30492000).

21072312 is an abundant number, since it is smaller than the sum of its proper divisors (39911688).

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

21072312 is a wasteful number, since it uses less digits than its factorization.

21072312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 21072312 is about 4590.4588005993. The cubic root of 21072312 is about 276.2087267973.

Adding to 21072312 its reverse (21327012), we get a palindrome (42399324).

The spelling of 21072312 in words is "twenty-one million, seventy-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1049 1116 1674 2098 2232 2511 3147 3348 4196 5022 6294 6696 8392 9441 10044 12588 18882 20088 25176 28323 32519 37764 56646 65038 75528 84969 97557 113292 130076 169938 195114 226584 260152 292671 339876 390228 585342 679752 780456 878013 1170684 1756026 2341368 2634039 3512052 5268078 7024104 10536156 21072312