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4020115720 = 2352329532843
BaseRepresentation
bin1110111110011110…
…0001100100001000
3101101011120001000211
43233213201210020
531213122200340
61502525010504
7201423263665
oct35747414410
911334501024
104020115720
111783283495
129423b3a34
134c0b456ca
142a1caca6c
15187dea5ea
hexef9e1908

4020115720 has 128 divisors (see below), whose sum is σ = 9951724800. Its totient is φ = 1456559104.

The previous prime is 4020115717. The next prime is 4020115753. The reversal of 4020115720 is 275110204.

It is a happy number.

4020115720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40201157202 = 32322660804382236800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4020115691 and 4020115700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1412619 + ... + 1415461.

It is an arithmetic number, because the mean of its divisors is an integer number (77747850).

Almost surely, 24020115720 is an apocalyptic number.

4020115720 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 4020115720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975862400).

4020115720 is an abundant number, since it is smaller than the sum of its proper divisors (5931609080).

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

4020115720 is a wasteful number, since it uses less digits than its factorization.

4020115720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 4020115720 is about 63404.3824983731. The cubic root of 4020115720 is about 1590.0575800252.

Adding to 4020115720 its reverse (275110204), we get a palindrome (4295225924).

The spelling of 4020115720 in words is "four billion, twenty million, one hundred fifteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 53 58 92 106 115 116 145 184 212 230 232 265 290 424 460 530 580 667 920 1060 1160 1219 1334 1537 2120 2438 2668 2843 3074 3335 4876 5336 5686 6095 6148 6670 7685 9752 11372 12190 12296 13340 14215 15370 22744 24380 26680 28430 30740 35351 48760 56860 61480 65389 70702 82447 113720 130778 141404 150679 164894 176755 261556 282808 301358 326945 329788 353510 412235 523112 602716 653890 659576 707020 753395 824470 1205432 1307780 1414040 1506790 1648940 1896281 2615560 3013580 3297880 3465617 3792562 4369691 6027160 6931234 7585124 8739382 9481405 13862468 15170248 17328085 17478764 18962810 21848455 27724936 34656170 34957528 37925620 43696910 69312340 75851240 87393820 100502893 138624680 174787640 201005786 402011572 502514465 804023144 1005028930 2010057860 4020115720