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4000242300 = 2235278716943
BaseRepresentation
bin1110111001101110…
…1101101001111100
3101022210011100211020
43232123231221330
531143030223200
61500535024140
7201062332665
oct35633555174
911283140736
104000242300
11177303a27a
1293780b050
134b99a7aa2
1429d3b836c
151862c1ea0
hexee6eda7c

4000242300 has 72 divisors (see below), whose sum is σ = 11589424896. Its totient is φ = 1065312960.

The previous prime is 4000242299. The next prime is 4000242319. The reversal of 4000242300 is 32420004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4000242300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227629 + ... + 244571.

Almost surely, 24000242300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794712448).

4000242300 is an abundant number, since it is smaller than the sum of its proper divisors (7589182596).

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

4000242300 is a wasteful number, since it uses less digits than its factorization.

4000242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17747 (or 17740 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4000242300 is about 63247.4687240525. The cubic root of 4000242300 is about 1587.4331035939.

Adding to 4000242300 its reverse (32420004), we get a palindrome (4032662304).

The spelling of 4000242300 in words is "four billion, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 787 1574 2361 3148 3935 4722 7870 9444 11805 15740 16943 19675 23610 33886 39350 47220 50829 59025 67772 78700 84715 101658 118050 169430 203316 236100 254145 338860 423575 508290 847150 1016580 1270725 1694300 2541450 5082900 13334141 26668282 40002423 53336564 66670705 80004846 133341410 160009692 200012115 266682820 333353525 400024230 666707050 800048460 1000060575 1333414100 2000121150 4000242300