Search a number
-
+
21010000 = 245411191
BaseRepresentation
bin101000000100…
…1011001010000
31110112102022011
41100021121100
520334310000
62030152304
7343403434
oct120113120
943472264
1021010000
1110950140
127052694
13447806b
142b0c9c4
151ca02ba
hex1409650

21010000 has 100 divisors (see below), whose sum is σ = 55782144. Its totient is φ = 7600000.

The previous prime is 21009997. The next prime is 21010013. The reversal of 21010000 is 1012.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109905 + ... + 110095.

Almost surely, 221010000 is an apocalyptic number.

21010000 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 21010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27891072).

21010000 is an abundant number, since it is smaller than the sum of its proper divisors (34772144).

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

21010000 is a wasteful number, since it uses less digits than its factorization.

21010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 21010000 is about 4583.6666545463. Note that the first 4 decimals coincide. The cubic root of 21010000 is about 275.9362031360.

Adding to 21010000 its reverse (1012), we get a palindrome (21011012).

The spelling of 21010000 in words is "twenty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 191 200 220 250 275 382 400 440 500 550 625 764 880 955 1000 1100 1250 1375 1528 1910 2000 2101 2200 2500 2750 3056 3820 4202 4400 4775 5000 5500 6875 7640 8404 9550 10000 10505 11000 13750 15280 16808 19100 21010 22000 23875 27500 33616 38200 42020 47750 52525 55000 76400 84040 95500 105050 110000 119375 168080 191000 210100 238750 262625 382000 420200 477500 525250 840400 955000 1050500 1313125 1910000 2101000 2626250 4202000 5252500 10505000 21010000