Search a number
-
+
21096900 = 223252112131
BaseRepresentation
bin101000001111…
…0100111000100
31110200211111200
41100132213010
520400100100
62032102500
7344214666
oct120364704
943624450
1021096900
11109aa460
127094a30
1344a8796
142b32536
151cbae00
hex141e9c4

21096900 has 108 divisors (see below), whose sum is σ = 72172464. Its totient is φ = 5112000.

The previous prime is 21096883. The next prime is 21096913. The reversal of 21096900 is 969012.

It is a happy number.

It is a super-2 number, since 2×210969002 = 890158379220000, which contains 22 as substring.

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, 8835 + ... + 10965.

Almost surely, 221096900 is an apocalyptic number.

21096900 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 21096900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36086232).

21096900 is an abundant number, since it is smaller than the sum of its proper divisors (51075564).

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

21096900 is a wasteful number, since it uses less digits than its factorization.

21096900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 21096900 is about 4593.1361834807. The cubic root of 21096900 is about 276.3161154311.

It can be divided in two parts, 2109 and 6900, that added together give a palindrome (9009).

The spelling of 21096900 in words is "twenty-one million, ninety-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2131 2475 3300 4262 4950 6393 8524 9900 10655 12786 19179 21310 23441 25572 31965 38358 42620 46882 53275 63930 70323 76716 93764 95895 106550 117205 127860 140646 159825 191790 210969 213100 234410 281292 319650 351615 383580 421938 468820 479475 586025 639300 703230 843876 958950 1054845 1172050 1406460 1758075 1917900 2109690 2344100 3516150 4219380 5274225 7032300 10548450 21096900