Search a number
-
+
21419235 = 35517261
BaseRepresentation
bin101000110110…
…1010011100011
31111022012200000
41101231103203
520440403420
62043031043
7350026515
oct121552343
944265600
1021419235
11110aa652
12720b483
13458c406
142bb7bb5
151d31690
hex146d4e3

21419235 has 72 divisors (see below), whose sum is σ = 41570256. Its totient is φ = 10575360.

The previous prime is 21419207. The next prime is 21419267. The reversal of 21419235 is 53291412.

It is not a de Polignac number, because 21419235 - 29 = 21418723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21419199 and 21419208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351105 + ... + 351165.

Almost surely, 221419235 is an apocalyptic number.

21419235 is a deficient number, since it is larger than the sum of its proper divisors (20151021).

21419235 is an equidigital number, since it uses as much as digits as its factorization.

21419235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 21419235 is about 4628.0919394498. The cubic root of 21419235 is about 277.7162667652.

The spelling of 21419235 in words is "twenty-one million, four hundred nineteen thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 45 51 61 81 85 135 153 183 243 255 289 305 405 459 549 765 867 915 1037 1215 1377 1445 1647 2295 2601 2745 3111 4131 4335 4941 5185 6885 7803 8235 9333 13005 14823 15555 17629 20655 23409 24705 27999 39015 46665 52887 70227 74115 83997 88145 117045 139995 158661 251991 264435 351135 419985 475983 793305 1259955 1427949 2379915 4283847 7139745 21419235