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4201028730 = 2325478911159
BaseRepresentation
bin1111101001100110…
…1001110001111010
3101211202222101000200
43322121221301322
532100430404410
61532510343030
7206051104113
oct37231516172
911752871020
104201028730
11186640a078
12992abaa76
1351c479022
142bbd2320a
15198c343c0
hexfa669c7a

4201028730 has 96 divisors (see below), whose sum is σ = 11281420800. Its totient is φ = 1084022016.

The previous prime is 4201028723. The next prime is 4201028753. The reversal of 4201028730 is 378201024.

It is a junction number, because it is equal to n+sod(n) for n = 4201028694 and 4201028703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370891 + ... + 382049.

It is an arithmetic number, because the mean of its divisors is an integer number (117514800).

Almost surely, 24201028730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201028730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640710400).

4201028730 is an abundant number, since it is smaller than the sum of its proper divisors (7080392070).

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

4201028730 is a wasteful number, since it uses less digits than its factorization.

4201028730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4201028730 is about 64815.3433223955. The cubic root of 4201028730 is about 1613.5603640369.

Adding to 4201028730 its reverse (378201024), we get a palindrome (4579229754).

The spelling of 4201028730 in words is "four billion, two hundred one million, twenty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 89 90 94 141 178 235 267 282 423 445 470 534 705 801 846 890 1335 1410 1602 2115 2670 4005 4183 4230 8010 8366 11159 12549 20915 22318 25098 33477 37647 41830 55795 62745 66954 75294 100431 111590 125490 167385 188235 200862 334770 376470 502155 524473 993151 1004310 1048946 1573419 1986302 2622365 2979453 3146838 4720257 4965755 5244730 5958906 7867095 8938359 9440514 9931510 14897265 15734190 17876718 23601285 29794530 44691795 46678097 47202570 89383590 93356194 140034291 233390485 280068582 420102873 466780970 700171455 840205746 1400342910 2100514365 4201028730