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21993384 = 23373141103
BaseRepresentation
bin101001111100…
…1011110101000
31112101101020210
41103321132220
521112242014
62103221120
7354640440
oct123713650
945341223
1021993384
1111461a56
1274477a0
13473084a
142cc7120
151de6859
hex14f97a8

21993384 has 128 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 5875200.

The previous prime is 21993347. The next prime is 21993401. The reversal of 21993384 is 48339912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213477 + ... + 213579.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 221993384 is an apocalyptic number.

21993384 is a gapful number since it is divisible by the number (24) 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 21993384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546240).

21993384 is an abundant number, since it is smaller than the sum of its proper divisors (45099096).

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

21993384 is a wasteful number, since it uses less digits than its factorization.

21993384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 21993384 is about 4689.7104388224. The cubic root of 21993384 is about 280.1758419279.

The spelling of 21993384 in words is "twenty-one million, nine hundred ninety-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 41 42 56 62 82 84 93 103 123 124 164 168 186 206 217 246 248 287 309 328 372 412 434 492 574 618 651 721 744 824 861 868 984 1148 1236 1271 1302 1442 1722 1736 2163 2296 2472 2542 2604 2884 3193 3444 3813 4223 4326 5084 5208 5768 6386 6888 7626 8446 8652 8897 9579 10168 12669 12772 15252 16892 17304 17794 19158 22351 25338 25544 26691 29561 30504 33784 35588 38316 44702 50676 53382 59122 67053 71176 76632 88683 89404 101352 106764 118244 130913 134106 177366 178808 213528 236488 261826 268212 354732 392739 523652 536424 709464 785478 916391 1047304 1570956 1832782 2749173 3141912 3665564 5498346 7331128 10996692 21993384