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2013241400 = 235234928843
BaseRepresentation
bin111011111111111…
…1010000000111000
312012022021021000022
41313333322000320
513110342211100
6531434430012
7100614161312
oct16777720070
95168237008
102013241400
11943471075
12482292308
13261132401
141515447b2
15bbb2ae85
hex77ffa038

2013241400 has 48 divisors (see below), whose sum is σ = 4694361000. Its totient is φ = 802961280.

The previous prime is 2013241367. The next prime is 2013241403. The reversal of 2013241400 is 41423102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013241403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55379 + ... + 84221.

Almost surely, 22013241400 is an apocalyptic number.

2013241400 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 2013241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347180500).

2013241400 is an abundant number, since it is smaller than the sum of its proper divisors (2681119600).

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

2013241400 is a wasteful number, since it uses less digits than its factorization.

2013241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29208 (or 29199 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2013241400 is about 44869.1586727454. The cubic root of 2013241400 is about 1262.6954558021.

Adding to 2013241400 its reverse (41423102), we get a palindrome (2054664502).

The spelling of 2013241400 in words is "two billion, thirteen million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 349 698 1396 1745 2792 3490 6980 8725 13960 17450 28843 34900 57686 69800 115372 144215 230744 288430 576860 721075 1153720 1442150 2884300 5768600 10066207 20132414 40264828 50331035 80529656 100662070 201324140 251655175 402648280 503310350 1006620700 2013241400