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21416772 = 223132347127
BaseRepresentation
bin101000110110…
…0101101000100
31111022002021210
41101230231010
520440314042
62043011420
7350016366
oct121545504
944262253
1021416772
11110a8813
127209b70
13458b260
142bb6d36
151d30a9c
hex146cb44

21416772 has 96 divisors (see below), whose sum is σ = 57802752. Its totient is φ = 6120576.

The previous prime is 21416737. The next prime is 21416779. The reversal of 21416772 is 27761412.

It is not an unprimeable number, because it can be changed into a prime (21416779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168573 + ... + 168699.

It is an arithmetic number, because the mean of its divisors is an integer number (602112).

Almost surely, 221416772 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 21416772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28901376).

21416772 is an abundant number, since it is smaller than the sum of its proper divisors (36385980).

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

21416772 is a wasteful number, since it uses less digits than its factorization.

21416772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 21416772 is about 4627.8258394196. The cubic root of 21416772 is about 277.7056214833.

The spelling of 21416772 in words is "twenty-one million, four hundred sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 47 52 69 78 92 94 127 138 141 156 188 254 276 282 299 381 508 564 598 611 762 897 1081 1196 1222 1524 1651 1794 1833 2162 2444 2921 3243 3302 3588 3666 4324 4953 5842 5969 6486 6604 7332 8763 9906 11684 11938 12972 14053 17526 17907 19812 23876 28106 35052 35814 37973 42159 56212 71628 75946 77597 84318 113919 137287 151892 155194 168636 227838 232791 274574 310388 411861 455676 465582 549148 823722 931164 1647444 1784731 3569462 5354193 7138924 10708386 21416772