Search a number
-
+
20811492 = 22381361
BaseRepresentation
bin100111101100…
…0111011100100
31110011100000000
41033120323210
520311431432
62022021300
7341615622
oct117307344
943140000
1020811492
1110824a89
126b77830
1344088c0
142a9a512
151c6157c
hex13d8ee4

20811492 has 108 divisors (see below), whose sum is σ = 59793916. Its totient is φ = 6298560.

The previous prime is 20811491. The next prime is 20811521. The reversal of 20811492 is 29411802.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 19131876 = 1296^2 + 4374^2 .

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20811491) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341142 + ... + 341202.

Almost surely, 220811492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20811492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29896958).

20811492 is an abundant number, since it is smaller than the sum of its proper divisors (38982424).

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

20811492 is an equidigital number, since it uses as much as digits as its factorization.

20811492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 20811492 is about 4561.9614202665. The cubic root of 20811492 is about 275.0644124599.

The spelling of 20811492 in words is "twenty million, eight hundred eleven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 81 108 117 122 156 162 183 234 243 244 324 351 366 468 486 549 702 729 732 793 972 1053 1098 1404 1458 1586 1647 2106 2187 2196 2379 2916 3159 3172 3294 4212 4374 4758 4941 6318 6561 6588 7137 8748 9477 9516 9882 12636 13122 14274 14823 18954 19764 21411 26244 28431 28548 29646 37908 42822 44469 56862 59292 64233 85293 85644 88938 113724 128466 133407 170586 177876 192699 256932 266814 341172 385398 400221 533628 578097 770796 800442 1156194 1600884 1734291 2312388 3468582 5202873 6937164 10405746 20811492