Search a number
-
+
21682296 = 2333372713
BaseRepresentation
bin101001010110…
…1100001111000
31111210120112000
41102231201320
521022313141
62052421000
7352203456
oct122554170
944716460
1021682296
111126a259
127317760
13465207c
142c459d6
151d845b6
hex14ad878

21682296 has 64 divisors (see below), whose sum is σ = 61879200. Its totient is φ = 7029504.

The previous prime is 21682289. The next prime is 21682301. The reversal of 21682296 is 69228612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21682296.

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, 6636 + ... + 9348.

Almost surely, 221682296 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 21682296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30939600).

21682296 is an abundant number, since it is smaller than the sum of its proper divisors (40196904).

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

21682296 is a wasteful number, since it uses less digits than its factorization.

21682296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2755 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 21682296 is about 4656.4252383132. The cubic root of 21682296 is about 278.8485708491.

The spelling of 21682296 in words is "twenty-one million, six hundred eighty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 2713 3996 5426 7992 8139 10852 16278 21704 24417 32556 48834 65112 73251 97668 100381 146502 195336 200762 293004 301143 401524 586008 602286 803048 903429 1204572 1806858 2409144 2710287 3613716 5420574 7227432 10841148 21682296