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21015900 = 223252191229
BaseRepresentation
bin101000000101…
…0110101011100
31110112201101200
41100022311130
520340002100
62030235500
7343426563
oct120126534
943481350
1021015900
1110954614
127055b90
13447a959
142b10bda
151ca1e00
hex140ad5c

21015900 has 108 divisors (see below), whose sum is σ = 69396600. Its totient is φ = 5304960.

The previous prime is 21015871. The next prime is 21015913. The reversal of 21015900 is 951012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16486 + ... + 17714.

Almost surely, 221015900 is an apocalyptic number.

21015900 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 21015900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34698300).

21015900 is an abundant number, since it is smaller than the sum of its proper divisors (48380700).

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

21015900 is a wasteful number, since it uses less digits than its factorization.

21015900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 21015900 is about 4584.3101989285. The cubic root of 21015900 is about 275.9620300633.

Adding to 21015900 its reverse (951012), we get a palindrome (21966912).

It can be divided in two parts, 2101 and 5900, that added together give a triangular number (8001 = T126).

The spelling of 21015900 in words is "twenty-one million, fifteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1229 1425 1710 1900 2458 2850 3420 3687 4275 4916 5700 6145 7374 8550 11061 12290 14748 17100 18435 22122 23351 24580 30725 36870 44244 46702 55305 61450 70053 73740 92175 93404 110610 116755 122900 140106 184350 210159 221220 233510 276525 280212 350265 368700 420318 467020 553050 583775 700530 840636 1050795 1106100 1167550 1401060 1751325 2101590 2335100 3502650 4203180 5253975 7005300 10507950 21015900