Search a number
-
+
4740330280 = 2357317392
BaseRepresentation
bin1000110101000101…
…11011001100101000
3110020100202201200011
410122202323030220
534202011032110
62102213421304
7225320066620
oct43242731450
913210681604
104740330280
11201287a334
12b0363a834
135a7111a7a
1432d7c9880
151cb26248a
hex11a8bb328

4740330280 has 96 divisors (see below), whose sum is σ = 12599677440. Its totient is φ = 1570700160.

The previous prime is 4740330247. The next prime is 4740330281. The reversal of 4740330280 is 820330474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4740330281) 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, 6414151 + ... + 6414889.

It is an arithmetic number, because the mean of its divisors is an integer number (131246640).

Almost surely, 24740330280 is an apocalyptic number.

4740330280 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 4740330280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299838720).

4740330280 is an abundant number, since it is smaller than the sum of its proper divisors (7859347160).

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

4740330280 is an equidigital number, since it uses as much as digits as its factorization.

4740330280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 4740330280 is about 68850.0564996137. The cubic root of 4740330280 is about 1679.8462491569.

The spelling of 4740330280 in words is "four billion, seven hundred forty million, three hundred thirty thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 739 868 1085 1240 1478 1736 2170 2956 3695 4340 5173 5912 7390 8680 10346 14780 20692 22909 25865 29560 41384 45818 51730 91636 103460 114545 160363 183272 206920 229090 320726 458180 546121 641452 801815 916360 1092242 1282904 1603630 2184484 2730605 3207260 3822847 4368968 5461210 6414520 7645694 10922420 15291388 16929751 19114235 21844840 30582776 33859502 38228470 67719004 76456940 84648755 118508257 135438008 152913880 169297510 237016514 338595020 474033028 592541285 677190040 948066056 1185082570 2370165140 4740330280