Search a number
-
+
21230832 = 2437179353
BaseRepresentation
bin101000011111…
…1010011110000
31110221122020010
41100333103300
520413341312
62035014520
7345313320
oct120772360
943848203
1021230832
1110a91047
12713a440
13452472c
142b69280
151ce593c
hex143f4f0

21230832 has 80 divisors (see below), whose sum is σ = 63210240. Its totient is φ = 6014976.

The previous prime is 21230827. The next prime is 21230843. The reversal of 21230832 is 23803212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21230799 and 21230808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59968 + ... + 60320.

It is an arithmetic number, because the mean of its divisors is an integer number (790128).

Almost surely, 221230832 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 21230832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31605120).

21230832 is an abundant number, since it is smaller than the sum of its proper divisors (41979408).

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

21230832 is a wasteful number, since it uses less digits than its factorization.

21230832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21230832 is about 4607.6926980865. The cubic root of 21230832 is about 276.8996060829.

The spelling of 21230832 in words is "twenty-one million, two hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 353 358 537 706 716 1059 1074 1253 1412 1432 2118 2148 2471 2506 2824 2864 3759 4236 4296 4942 5012 5648 7413 7518 8472 8592 9884 10024 14826 15036 16944 19768 20048 29652 30072 39536 59304 60144 63187 118608 126374 189561 252748 379122 442309 505496 758244 884618 1010992 1326927 1516488 1769236 2653854 3032976 3538472 5307708 7076944 10615416 21230832