Search a number
-
+
21125376 = 283253173
BaseRepresentation
bin101000010010…
…1100100000000
31110202021120100
41100211210000
520402003001
62032442400
7344364006
oct120454400
943667510
1021125376
1110a19898
1270a9400
1344b872c
142b3ca76
151cc4586
hex1425900

21125376 has 108 divisors (see below), whose sum is σ = 62417628. Its totient is φ = 6868992.

The previous prime is 21125371. The next prime is 21125381. The reversal of 21125376 is 67352112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21125371) and next prime (21125381).

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 3686400 = 4176^2 + 1920^2 .

It is a super-2 number, since 2×211253762 = 892563022282752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21125371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122026 + ... + 122198.

It is an arithmetic number, because the mean of its divisors is an integer number (577941).

Almost surely, 221125376 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 21125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31208814).

21125376 is an abundant number, since it is smaller than the sum of its proper divisors (41292252).

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

21125376 is a wasteful number, since it uses less digits than its factorization.

21125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 21125376 is about 4596.2349809382. The cubic root of 21125376 is about 276.4403807684.

Adding to 21125376 its reverse (67352112), we get a palindrome (88477488).

The spelling of 21125376 in words is "twenty-one million, one hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 173 192 212 256 288 318 346 384 424 477 519 576 636 692 768 848 954 1038 1152 1272 1384 1557 1696 1908 2076 2304 2544 2768 3114 3392 3816 4152 5088 5536 6228 6784 7632 8304 9169 10176 11072 12456 13568 15264 16608 18338 20352 22144 24912 27507 30528 33216 36676 40704 44288 49824 55014 61056 66432 73352 82521 99648 110028 122112 132864 146704 165042 199296 220056 293408 330084 398592 440112 586816 660168 880224 1173632 1320336 1760448 2347264 2640672 3520896 5281344 7041792 10562688 21125376