Search a number
-
+
21125400 = 23352137257
BaseRepresentation
bin101000010010…
…1100100011000
31110202021121020
41100211210120
520402003100
62032442440
7344364042
oct120454430
943667536
1021125400
1110a1990a
1270a9420
1344b874a
142b3ca92
151cc45a0
hex1425918

21125400 has 96 divisors (see below), whose sum is σ = 66223440. Its totient is φ = 5570560.

The previous prime is 21125393. The next prime is 21125443. The reversal of 21125400 is 452112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21125400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82072 + ... + 82328.

Almost surely, 221125400 is an apocalyptic number.

21125400 is a gapful number since it is divisible by the number (20) 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 21125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33111720).

21125400 is an abundant number, since it is smaller than the sum of its proper divisors (45098040).

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

21125400 is a wasteful number, since it uses less digits than its factorization.

21125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 21125400 is about 4596.2375917700. The cubic root of 21125400 is about 276.4404854539.

Adding to 21125400 its reverse (452112), we get a palindrome (21577512).

The spelling of 21125400 in words is "twenty-one million, one hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 137 150 200 257 274 300 411 514 548 600 685 771 822 1028 1096 1285 1370 1542 1644 2055 2056 2570 2740 3084 3288 3425 3855 4110 5140 5480 6168 6425 6850 7710 8220 10275 10280 12850 13700 15420 16440 19275 20550 25700 27400 30840 35209 38550 41100 51400 70418 77100 82200 105627 140836 154200 176045 211254 281672 352090 422508 528135 704180 845016 880225 1056270 1408360 1760450 2112540 2640675 3520900 4225080 5281350 7041800 10562700 21125400