Search a number
-
+
20013480 = 233552971
BaseRepresentation
bin100110001011…
…0000110101000
31101122210100000
41030112012220
520110412410
61552543000
7332053224
oct114260650
941583300
1020013480
111032a473
126851a60
1341b95c6
14292d784
151b54dc0
hex13161a8

20013480 has 192 divisors, whose sum is σ = 70761600. Its totient is φ = 5080320.

The previous prime is 20013463. The next prime is 20013481. The reversal of 20013480 is 8431002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281845 + ... + 281915.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 220013480 is an apocalyptic number.

20013480 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 20013480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

20013480 is an abundant number, since it is smaller than the sum of its proper divisors (50748120).

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

20013480 is a wasteful number, since it uses less digits than its factorization.

20013480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20013480 is about 4473.6428109540. The cubic root of 20013480 is about 271.5027318794.

Adding to 20013480 its reverse (8431002), we get a palindrome (28444482).

The spelling of 20013480 in words is "twenty million, thirteen thousand, four hundred eighty".