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2060440400 = 245210151001
BaseRepresentation
bin111101011001111…
…1101001101010000
312022121002012212102
41322303331031100
513204433043100
6540242215532
7102026311604
oct17263751520
95277065772
102060440400
11968079407
124960545a8
1326ab49905
1415790d504
15c0d50cd5
hex7acfd350

2060440400 has 60 divisors (see below), whose sum is σ = 4999318044. Its totient is φ = 816000000.

The previous prime is 2060440381. The next prime is 2060440429. The reversal of 2060440400 is 40440602.

It can be written as a sum of positive squares in 6 ways, for example, as 199035664 + 1861404736 = 14108^2 + 43144^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14900 + ... + 65900.

Almost surely, 22060440400 is an apocalyptic number.

2060440400 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 2060440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499659022).

2060440400 is an abundant number, since it is smaller than the sum of its proper divisors (2938877644).

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

2060440400 is a wasteful number, since it uses less digits than its factorization.

2060440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51120 (or 51109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2060440400 is about 45392.0741980359. The cubic root of 2060440400 is about 1272.4869942819.

The spelling of 2060440400 in words is "two billion, sixty million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 51001 102002 204004 255005 408008 510010 816016 1020020 1275025 2040040 2550050 4080080 5100100 5151101 10200200 10302202 20400400 20604404 25755505 41208808 51511010 82417616 103022020 128777525 206044040 257555050 412088080 515110100 1030220200 2060440400