Search a number
-
+
4021013500 = 225372414003
BaseRepresentation
bin1110111110101011…
…1100101111111100
3101101020020122112221
43233222330233330
531213334413000
61503000135124
7201434023300
oct35752745774
911336218487
104021013500
111783836a59
129427674a4
134c109b23a
142a2063d00
1518802661a
hexefabcbfc

4021013500 has 144 divisors (see below), whose sum is σ = 10467448992. Its totient is φ = 1344672000.

The previous prime is 4021013497. The next prime is 4021013501. The reversal of 4021013500 is 53101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021013501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002499 + ... + 1006501.

It is an arithmetic number, because the mean of its divisors is an integer number (72690618).

Almost surely, 24021013500 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 4021013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233724496).

4021013500 is an abundant number, since it is smaller than the sum of its proper divisors (6446435492).

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

4021013500 is a wasteful number, since it uses less digits than its factorization.

4021013500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4021013500 is about 63411.4618976727. The cubic root of 4021013500 is about 1590.1759361241.

Adding to 4021013500 its reverse (53101204), we get a palindrome (4074114704).

The spelling of 4021013500 in words is "four billion, twenty-one million, thirteen thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 49 50 70 82 98 100 125 140 164 175 196 205 245 250 287 350 410 490 500 574 700 820 875 980 1025 1148 1225 1435 1750 2009 2050 2450 2870 3500 4003 4018 4100 4900 5125 5740 6125 7175 8006 8036 10045 10250 12250 14350 16012 20015 20090 20500 24500 28021 28700 35875 40030 40180 50225 56042 71750 80060 100075 100450 112084 140105 143500 164123 196147 200150 200900 251125 280210 328246 392294 400300 500375 502250 560420 656492 700525 784588 820615 980735 1000750 1004500 1148861 1401050 1641230 1961470 2001500 2297722 2802100 3282460 3502625 3922940 4103075 4595444 4903675 5744305 7005250 8042027 8206150 9807350 11488610 14010500 16084054 16412300 19614700 20515375 22977220 24518375 28721525 32168108 40210135 41030750 49036750 57443050 80420270 82061500 98073500 114886100 143607625 160840540 201050675 287215250 402101350 574430500 804202700 1005253375 2010506750 4021013500