Search a number
-
+
20054034 = 23372111353
BaseRepresentation
bin100110010000…
…0000000010010
31101201211222000
41030200000102
520113212114
61553454430
7332312400
oct114400022
941654860
1020054034
1110357990
126871416
134201bc0
142940470
151b61e09
hex1320012

20054034 has 192 divisors, whose sum is σ = 62052480. Its totient is φ = 4717440.

The previous prime is 20054017. The next prime is 20054093. The reversal of 20054034 is 43045002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 20053998 and 20054016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378352 + ... + 378404.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 220054034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20054034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

20054034 is an abundant number, since it is smaller than the sum of its proper divisors (41998446).

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

20054034 is a wasteful number, since it uses less digits than its factorization.

20054034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20054034 is about 4478.1730649898. The cubic root of 20054034 is about 271.6859932470.

Adding to 20054034 its reverse (43045002), we get a palindrome (63099036).

The spelling of 20054034 in words is "twenty million, fifty-four thousand, thirty-four".