Search a number
-
+
21009408 = 21037977
BaseRepresentation
bin101000000100…
…1010000000000
31110112101111020
41100021100000
520334300113
62030145440
7343401630
oct120112000
943471436
1021009408
111094a752
127052280
134477a04
142b0c6c0
151ca0023
hex1409400

21009408 has 88 divisors (see below), whose sum is σ = 64062912. Its totient is φ = 5996544.

The previous prime is 21009407. The next prime is 21009449. The reversal of 21009408 is 80490012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21009403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21016 + ... + 21992.

Almost surely, 221009408 is an apocalyptic number.

21009408 is a gapful number since it is divisible by the number (28) 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 21009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32031456).

21009408 is an abundant number, since it is smaller than the sum of its proper divisors (43053504).

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

21009408 is an equidigital number, since it uses as much as digits as its factorization.

21009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 21009408 is about 4583.6020769696. The cubic root of 21009408 is about 275.9336114215.

The spelling of 21009408 in words is "twenty-one million, nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 977 1024 1344 1536 1792 1954 2688 2931 3072 3584 3908 5376 5862 6839 7168 7816 10752 11724 13678 15632 20517 21504 23448 27356 31264 41034 46896 54712 62528 82068 93792 109424 125056 164136 187584 218848 250112 328272 375168 437696 500224 656544 750336 875392 1000448 1313088 1500672 1750784 2626176 3001344 3501568 5252352 7003136 10504704 21009408