Search a number
-
+
2020145400 = 2333527134111
BaseRepresentation
bin111100001101000…
…1111100011111000
312012210021000112000
41320122033203320
513114124123100
6532242421000
7101026644510
oct17032174370
95183230460
102020145400
11947357159
12484661760
132626aba10
14152420840
15bc541900
hex7868f8f8

2020145400 has 384 divisors, whose sum is σ = 8566118400. Its totient is φ = 426124800.

The previous prime is 2020145353. The next prime is 2020145441. The reversal of 2020145400 is 45410202.

2020145400 is a `hidden beast` number, since 20 + 201 + 45 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489345 + ... + 493455.

It is an arithmetic number, because the mean of its divisors is an integer number (22307600).

Almost surely, 22020145400 is an apocalyptic number.

2020145400 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 2020145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283059200).

2020145400 is an abundant number, since it is smaller than the sum of its proper divisors (6545973000).

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

2020145400 is a wasteful number, since it uses less digits than its factorization.

2020145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2020145400 is about 44946.0276331513. The cubic root of 2020145400 is about 1264.1371943564.

Adding to 2020145400 its reverse (45410202), we get a palindrome (2065555602).

The spelling of 2020145400 in words is "two billion, twenty million, one hundred forty-five thousand, four hundred".