Search a number
-
+
420310770 = 235117117939
BaseRepresentation
bin11001000011010…
…110111011110010
31002021212222222120
4121003112323302
51330044421040
6105412415110
713262403555
oct3103267362
91067788876
10420310770
111a6288780
12b8917496
13691032c9
143db7069c
1526d767d0
hex190d6ef2

420310770 has 64 divisors (see below), whose sum is σ = 1116011520. Its totient is φ = 100452800.

The previous prime is 420310753. The next prime is 420310783. The reversal of 420310770 is 77013024.

It is a super-2 number, since 2×4203107702 = 353322286755985800, 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 420310770.

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, 14461 + ... + 32399.

It is an arithmetic number, because the mean of its divisors is an integer number (17437680).

Almost surely, 2420310770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420310770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558005760).

420310770 is an abundant number, since it is smaller than the sum of its proper divisors (695700750).

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

420310770 is a wasteful number, since it uses less digits than its factorization.

420310770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18031.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 420310770 is about 20501.4821415428. The cubic root of 420310770 is about 749.0719008720.

Adding to 420310770 its reverse (77013024), we get a palindrome (497323794).

The spelling of 420310770 in words is "four hundred twenty million, three hundred ten thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1562 2130 2343 3905 4686 7810 11715 17939 23430 35878 53817 89695 107634 179390 197329 269085 394658 538170 591987 986645 1183974 1273669 1973290 2547338 2959935 3821007 5919870 6368345 7642014 12736690 14010359 19105035 28020718 38210070 42031077 70051795 84062154 140103590 210155385 420310770