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21053200 = 2452773103
BaseRepresentation
bin101000001001…
…1111100010000
31110121121120011
41100103330100
520342200300
62031124304
7343643410
oct120237420
943547504
1021053200
111097a643
127073694
13449191c
142b20640
151caceba
hex1413f10

21053200 has 120 divisors (see below), whose sum is σ = 59166848. Its totient is φ = 7050240.

The previous prime is 21053173. The next prime is 21053203. The reversal of 21053200 is 235012.

It is not an unprimeable number, because it can be changed into a prime (21053203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204349 + ... + 204451.

Almost surely, 221053200 is an apocalyptic number.

21053200 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 21053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29583424).

21053200 is an abundant number, since it is smaller than the sum of its proper divisors (38113648).

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

21053200 is a wasteful number, since it uses less digits than its factorization.

21053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 21053200 is about 4588.3766192413. The cubic root of 21053200 is about 276.1251969987.

Adding to 21053200 its reverse (235012), we get a palindrome (21288212).

The spelling of 21053200 in words is "twenty-one million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 73 80 100 103 112 140 146 175 200 206 280 292 350 365 400 412 511 515 560 584 700 721 730 824 1022 1030 1168 1400 1442 1460 1648 1825 2044 2060 2555 2575 2800 2884 2920 3605 3650 4088 4120 5110 5150 5768 5840 7210 7300 7519 8176 8240 10220 10300 11536 12775 14420 14600 15038 18025 20440 20600 25550 28840 29200 30076 36050 37595 40880 41200 51100 52633 57680 60152 72100 75190 102200 105266 120304 144200 150380 187975 204400 210532 263165 288400 300760 375950 421064 526330 601520 751900 842128 1052660 1315825 1503800 2105320 2631650 3007600 4210640 5263300 10526600 21053200