Search a number
-
+
21276216 = 2333137577
BaseRepresentation
bin101000100101…
…0011000111000
31111000221111000
41101022120320
520421314331
62040005000
7345562533
oct121123070
944027430
1021276216
1111012155
127160760
13453c2a0
142b7ba1a
151d040e6
hex144a638

21276216 has 64 divisors (see below), whose sum is σ = 63655200. Its totient is φ = 6545664.

The previous prime is 21276209. The next prime is 21276263. The reversal of 21276216 is 61267212.

It is a super-3 number, since 3×212762163 (a number of 23 digits) contains 333 as substring.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 21276216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981 + ... + 6596.

Almost surely, 221276216 is an apocalyptic number.

21276216 is a gapful number since it is divisible by the number (26) 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 21276216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31827600).

21276216 is an abundant number, since it is smaller than the sum of its proper divisors (42378984).

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

21276216 is a wasteful number, since it uses less digits than its factorization.

21276216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605 (or 7595 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 21276216 is about 4612.6148766183. The cubic root of 21276216 is about 277.0967700923.

The spelling of 21276216 in words is "twenty-one million, two hundred seventy-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 7577 15154 22731 30308 45462 60616 68193 90924 98501 136386 181848 197002 204579 272772 295503 394004 409158 545544 591006 788008 818316 886509 1182012 1636632 1773018 2364024 2659527 3546036 5319054 7092072 10638108 21276216