Search a number
-
+
4024202240 = 21056711731
BaseRepresentation
bin1110111111011100…
…0111010000000000
3101101110020122200102
43233313013100000
531220143432430
61503152341532
7201503104022
oct35767072000
911343218612
104024202240
111785614783
129438448a8
134c1946776
142a2654012
15188456345
hexefdc7400

4024202240 has 88 divisors (see below), whose sum is σ = 9798284832. Its totient is φ = 1585520640.

The previous prime is 4024202239. The next prime is 4024202249. The reversal of 4024202240 is 422024204.

4024202240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024202249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337175 + ... + 348905.

Almost surely, 24024202240 is an apocalyptic number.

4024202240 is a gapful number since it is divisible by the number (40) 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 4024202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899142416).

4024202240 is an abundant number, since it is smaller than the sum of its proper divisors (5774082592).

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

4024202240 is a wasteful number, since it uses less digits than its factorization.

4024202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11823 (or 11805 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4024202240 is about 63436.6001611057. The cubic root of 4024202240 is about 1590.5961716219.

Adding to 4024202240 its reverse (422024204), we get a palindrome (4446226444).

The spelling of 4024202240 in words is "four billion, twenty-four million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 512 536 640 670 1024 1072 1280 1340 2144 2560 2680 4288 5120 5360 8576 10720 11731 17152 21440 23462 34304 42880 46924 58655 68608 85760 93848 117310 171520 187696 234620 343040 375392 469240 750784 785977 938480 1501568 1571954 1876960 3003136 3143908 3753920 3929885 6006272 6287816 7507840 7859770 12012544 12575632 15015680 15719540 25151264 30031360 31439080 50302528 60062720 62878160 100605056 125756320 201210112 251512640 402420224 503025280 804840448 1006050560 2012101120 4024202240