Search a number
-
+
4031020000 = 2554728793
BaseRepresentation
bin1111000001000100…
…0111101111100000
3101101221002000220001
43300101013233200
531223420120000
61503554425344
7201615050620
oct36021075740
911357060801
104031020000
111789450a97
12945b92254
134c3192a47
142a350a880
15188d5146a
hexf0447be0

4031020000 has 120 divisors (see below), whose sum is σ = 11334009456. Its totient is φ = 1382016000.

The previous prime is 4031019983. The next prime is 4031020003. The reversal of 4031020000 is 201304.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125604 + ... + 154396.

Almost surely, 24031020000 is an apocalyptic number.

4031020000 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 4031020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667004728).

4031020000 is an abundant number, since it is smaller than the sum of its proper divisors (7302989456).

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

4031020000 is an equidigital number, since it uses as much as digits as its factorization.

4031020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28830 (or 28807 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 4031020000 is about 63490.3142219347. The cubic root of 4031020000 is about 1591.4939217817.

Adding to 4031020000 its reverse (201304), we get a palindrome (4031221304).

The spelling of 4031020000 in words is "four billion, thirty-one million, twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 28793 35000 57586 70000 115172 140000 143965 201551 230344 287930 403102 460688 575860 719825 806204 921376 1007755 1151720 1439650 1612408 2015510 2303440 2879300 3224816 3599125 4031020 4606880 5038775 5758600 6449632 7198250 8062040 10077550 11517200 14396500 16124080 17995625 20155100 23034400 25193875 28793000 32248160 35991250 40310200 50387750 57586000 71982500 80620400 100775500 115172000 125969375 143965000 161240800 201551000 251938750 287930000 403102000 503877500 575860000 806204000 1007755000 2015510000 4031020000