Search a number
-
+
21469056 = 27373163
BaseRepresentation
bin101000111100…
…1011110000000
31111101202000020
41101321132000
520444002211
62044053440
7350325000
oct121713600
944352006
1021469056
1111134024
127234280
1345a8cab
142bcc000
151d41306
hex1479780

21469056 has 128 divisors (see below), whose sum is σ = 66912000. Its totient is φ = 6096384.

The previous prime is 21469033. The next prime is 21469057. The reversal of 21469056 is 65096412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×214690562 = 921840731062272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21469057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 131631 + ... + 131793.

It is an arithmetic number, because the mean of its divisors is an integer number (522750).

Almost surely, 221469056 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 21469056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33456000).

21469056 is an abundant number, since it is smaller than the sum of its proper divisors (45442944).

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

21469056 is an equidigital number, since it uses as much as digits as its factorization.

21469056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 21469056 is about 4633.4712689300. The cubic root of 21469056 is about 277.9314221058.

The spelling of 21469056 in words is "twenty-one million, four hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 163 168 192 196 224 294 326 336 343 384 392 448 489 588 652 672 686 784 896 978 1029 1141 1176 1304 1344 1372 1568 1956 2058 2282 2352 2608 2688 2744 3136 3423 3912 4116 4564 4704 5216 5488 6272 6846 7824 7987 8232 9128 9408 10432 10976 13692 15648 15974 16464 18256 18816 20864 21952 23961 27384 31296 31948 32928 36512 43904 47922 54768 55909 62592 63896 65856 73024 95844 109536 111818 127792 131712 146048 167727 191688 219072 223636 255584 335454 383376 438144 447272 511168 670908 766752 894544 1022336 1341816 1533504 1789088 2683632 3067008 3578176 5367264 7156352 10734528 21469056