Search a number
-
+
21058400 = 2552112393
BaseRepresentation
bin101000001010…
…1001101100000
31110121212200202
41100111031200
520342332100
62031204332
7343664516
oct120251540
943555622
1021058400
1110983540
1270766a8
1344940bc
142b224b6
151cae7d5
hex1415360

21058400 has 72 divisors (see below), whose sum is σ = 56105784. Its totient is φ = 7654400.

The previous prime is 21058369. The next prime is 21058417. The reversal of 21058400 is 485012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7604 + ... + 9996.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 221058400 is an apocalyptic number.

21058400 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 21058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28052892).

21058400 is an abundant number, since it is smaller than the sum of its proper divisors (35047384).

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

21058400 is a wasteful number, since it uses less digits than its factorization.

21058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 21058400 is about 4588.9432334689. The cubic root of 21058400 is about 276.1479288214.

The spelling of 21058400 in words is "twenty-one million, fifty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 2393 4400 4786 8800 9572 11965 19144 23930 26323 38288 47860 52646 59825 76576 95720 105292 119650 131615 191440 210584 239300 263230 382880 421168 478600 526460 658075 842336 957200 1052920 1316150 1914400 2105840 2632300 4211680 5264600 10529200 21058400