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21840192 = 263411383
BaseRepresentation
bin101001101010…
…0000101000000
31112002121010000
41103110011000
521042341232
62100040000
7353432013
oct123240500
945077100
1021840192
1111367950
127393000
1346a8bba
142c8737a
151db627c
hex14d4140

21840192 has 140 divisors (see below), whose sum is σ = 70811136. Its totient is φ = 6600960.

The previous prime is 21840157. The next prime is 21840193. The reversal of 21840192 is 29104812.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21840193) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56833 + ... + 57215.

Almost surely, 221840192 is an apocalyptic number.

21840192 is a gapful number since it is divisible by the number (22) 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 21840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35405568).

21840192 is an abundant number, since it is smaller than the sum of its proper divisors (48970944).

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

21840192 is a wasteful number, since it uses less digits than its factorization.

21840192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21840192 is about 4673.3491202777. The cubic root of 21840192 is about 279.5238164853.

The spelling of 21840192 in words is "twenty-one million, eight hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 383 396 432 528 576 594 648 704 766 792 864 891 1056 1149 1188 1296 1532 1584 1728 1782 2112 2298 2376 2592 3064 3168 3447 3564 4213 4596 4752 5184 6128 6336 6894 7128 8426 9192 9504 10341 12256 12639 13788 14256 16852 18384 19008 20682 24512 25278 27576 28512 31023 33704 36768 37917 41364 50556 55152 57024 62046 67408 73536 75834 82728 101112 110304 113751 124092 134816 151668 165456 202224 220608 227502 248184 269632 303336 330912 341253 404448 455004 496368 606672 661824 682506 808896 910008 992736 1213344 1365012 1820016 1985472 2426688 2730024 3640032 5460048 7280064 10920096 21840192