Search a number
-
+
4720234400 = 255271276637
BaseRepresentation
bin1000110010101100…
…10000111110100000
3110011221221202022022
410121112100332200
534131340000100
62100215001012
7224654221220
oct43126207640
913157852268
104720234400
1120024a3a72
12ab8969168
135a2bc6b0b
1432ac78080
151c95e2e85
hex119590fa0

4720234400 has 144 divisors (see below), whose sum is σ = 13275150336. Its totient is φ = 1605381120.

The previous prime is 4720234381. The next prime is 4720234403. The reversal of 4720234400 is 44320274.

It is a super-2 number, since 2×47202344002 = 44561225581886720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4720234400.

It is not an unprimeable number, because it can be changed into a prime (4720234403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707882 + ... + 714518.

It is an arithmetic number, because the mean of its divisors is an integer number (92188544).

Almost surely, 24720234400 is an apocalyptic number.

4720234400 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 4720234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637575168).

4720234400 is an abundant number, since it is smaller than the sum of its proper divisors (8554915936).

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

4720234400 is a wasteful number, since it uses less digits than its factorization.

4720234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6791 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 4720234400 is about 68703.9620400454. The cubic root of 4720234400 is about 1677.4690726595.

Adding to 4720234400 its reverse (44320274), we get a palindrome (4764554674).

The spelling of 4720234400 in words is "four billion, seven hundred twenty million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 127 140 160 175 200 224 254 280 350 400 508 560 635 700 800 889 1016 1120 1270 1400 1778 2032 2540 2800 3175 3556 4064 4445 5080 5600 6350 6637 7112 8890 10160 12700 13274 14224 17780 20320 22225 25400 26548 28448 33185 35560 44450 46459 50800 53096 66370 71120 88900 92918 101600 106192 132740 142240 165925 177800 185836 212384 232295 265480 331850 355600 371672 464590 530960 663700 711200 743344 842899 929180 1061920 1161475 1327400 1486688 1685798 1858360 2322950 2654800 3371596 3716720 4214495 4645900 5309600 5900293 6743192 7433440 8428990 9291800 11800586 13486384 16857980 18583600 21072475 23601172 26972768 29501465 33715960 37167200 42144950 47202344 59002930 67431920 84289900 94404688 118005860 134863840 147507325 168579800 188809376 236011720 295014650 337159600 472023440 590029300 674319200 944046880 1180058600 2360117200 4720234400