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21681324 = 22337217241
BaseRepresentation
bin101001010110…
…1010010101100
31111210112012000
41102231102230
521022300244
62052412300
7352200600
oct122552254
944715160
1021681324
1111269555
127317090
1346517b2
142c45500
151d84169
hex14ad4ac

21681324 has 144 divisors (see below), whose sum is σ = 69521760. Its totient is φ = 5806080.

The previous prime is 21681311. The next prime is 21681347. The reversal of 21681324 is 42318612.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89844 + ... + 90084.

It is an arithmetic number, because the mean of its divisors is an integer number (482790).

Almost surely, 221681324 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 21681324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34760880).

21681324 is an abundant number, since it is smaller than the sum of its proper divisors (47840436).

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

21681324 is a wasteful number, since it uses less digits than its factorization.

21681324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 21681324 is about 4656.3208652325. The cubic root of 21681324 is about 278.8444039340.

Adding to 21681324 its reverse (42318612), we get a palindrome (63999936).

The spelling of 21681324 in words is "twenty-one million, six hundred eighty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 49 51 54 63 68 84 98 102 108 119 126 147 153 189 196 204 238 241 252 294 306 357 378 441 459 476 482 588 612 714 723 756 833 882 918 964 1071 1323 1428 1446 1666 1687 1764 1836 2142 2169 2499 2646 2892 3213 3332 3374 4097 4284 4338 4998 5061 5292 6426 6507 6748 7497 8194 8676 9996 10122 11809 12291 12852 13014 14994 15183 16388 20244 22491 23618 24582 26028 28679 29988 30366 35427 36873 44982 45549 47236 49164 57358 60732 70854 73746 86037 89964 91098 106281 110619 114716 141708 147492 172074 182196 200753 212562 221238 258111 318843 344148 401506 425124 442476 516222 602259 637686 774333 803012 1032444 1204518 1275372 1548666 1806777 2409036 3097332 3613554 5420331 7227108 10840662 21681324