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21201000 = 2335337191
BaseRepresentation
bin101000011100…
…0000001101000
31110220010022020
41100320001220
520411413000
62034224440
7345130332
oct120700150
943803266
1021201000
1110a70697
127125120
134513c92
142b5c452
151cdbba0
hex1438068

21201000 has 128 divisors (see below), whose sum is σ = 68290560. Its totient is φ = 5472000.

The previous prime is 21200987. The next prime is 21201031. The reversal of 21201000 is 10212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21201000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110905 + ... + 111095.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 221201000 is an apocalyptic number.

21201000 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 21201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34145280).

21201000 is an abundant number, since it is smaller than the sum of its proper divisors (47089560).

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

21201000 is a wasteful number, since it uses less digits than its factorization.

21201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 21201000 is about 4604.4543650687. The cubic root of 21201000 is about 276.7698523193.

Adding to 21201000 its reverse (10212), we get a palindrome (21211212).

The spelling of 21201000 in words is "twenty-one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 191 200 222 250 296 300 370 375 382 444 500 555 573 600 740 750 764 888 925 955 1000 1110 1146 1480 1500 1528 1850 1910 2220 2292 2775 2865 3000 3700 3820 4440 4584 4625 4775 5550 5730 7067 7400 7640 9250 9550 11100 11460 13875 14134 14325 18500 19100 21201 22200 22920 23875 27750 28268 28650 35335 37000 38200 42402 47750 55500 56536 57300 70670 71625 84804 95500 106005 111000 114600 141340 143250 169608 176675 191000 212010 282680 286500 353350 424020 530025 573000 706700 848040 883375 1060050 1413400 1766750 2120100 2650125 3533500 4240200 5300250 7067000 10600500 21201000