Search a number
-
+
20619392 = 27413929
BaseRepresentation
bin100111010101…
…0000010000000
31102210120111012
41032222002000
520234310032
62013540052
7340155563
oct116520200
942716435
1020619392
1110703722
126aa4628
13436c331
142a4a4da
151c246b2
hex13aa080

20619392 has 32 divisors (see below), whose sum is σ = 42090300. Its totient is φ = 10055680.

The previous prime is 20619373. The next prime is 20619413. The reversal of 20619392 is 29391602.

It can be written as a sum of positive squares in 2 ways, for example, as 16192576 + 4426816 = 4024^2 + 2104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3284 + ... + 7212.

Almost surely, 220619392 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 20619392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21045150).

20619392 is an abundant number, since it is smaller than the sum of its proper divisors (21470908).

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

20619392 is an equidigital number, since it uses as much as digits as its factorization.

20619392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 20619392 is about 4540.8580686914. The cubic root of 20619392 is about 274.2154697765.

The spelling of 20619392 in words is "twenty million, six hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 3929 5248 7858 15716 31432 62864 125728 161089 251456 322178 502912 644356 1288712 2577424 5154848 10309696 20619392