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21393648 = 24322947109
BaseRepresentation
bin101000110011…
…1000011110000
31111020220120100
41101213003300
520434044043
62042312400
7346562103
oct121470360
944226510
1021393648
1111092401
1271b8700
134580883
142bac73a
151d28cd3
hex14670f0

21393648 has 120 divisors (see below), whose sum is σ = 63835200. Its totient is φ = 6676992.

The previous prime is 21393623. The next prime is 21393653. The reversal of 21393648 is 84639312.

21393648 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196218 + ... + 196326.

It is an arithmetic number, because the mean of its divisors is an integer number (531960).

Almost surely, 221393648 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 21393648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917600).

21393648 is an abundant number, since it is smaller than the sum of its proper divisors (42441552).

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

21393648 is a wasteful number, since it uses less digits than its factorization.

21393648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 21393648 is about 4625.3267992651. The cubic root of 21393648 is about 277.6056378915.

The spelling of 21393648 in words is "twenty-one million, three hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 47 48 58 72 87 94 109 116 141 144 174 188 218 232 261 282 327 348 376 423 436 464 522 564 654 696 752 846 872 981 1044 1128 1308 1363 1392 1692 1744 1962 2088 2256 2616 2726 3161 3384 3924 4089 4176 5123 5232 5452 6322 6768 7848 8178 9483 10246 10904 12267 12644 15369 15696 16356 18966 20492 21808 24534 25288 28449 30738 32712 37932 40984 46107 49068 50576 56898 61476 65424 75864 81968 92214 98136 113796 122952 148567 151728 184428 196272 227592 245904 297134 368856 445701 455184 594268 737712 891402 1188536 1337103 1782804 2377072 2674206 3565608 5348412 7131216 10696824 21393648