Search a number
-
+
1330013220 = 2235431912699
BaseRepresentation
bin100111101000110…
…0110010000100100
310102200122200010220
41033101212100210
510210440410340
6335550444340
744646632364
oct11721462044
93380580126
101330013220
11622837688
123115036b0
13182715c93
14c88d49a4
157bb6ced0
hex4f466424

1330013220 has 96 divisors (see below), whose sum is σ = 3832012800. Its totient is φ = 344480640.

The previous prime is 1330013197. The next prime is 1330013239. The reversal of 1330013220 is 223100331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1330013220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491431 + ... + 494129.

It is an arithmetic number, because the mean of its divisors is an integer number (39916800).

Almost surely, 21330013220 is an apocalyptic number.

1330013220 is a gapful number since it is divisible by the number (10) 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 1330013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916006400).

1330013220 is an abundant number, since it is smaller than the sum of its proper divisors (2501999580).

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

1330013220 is a wasteful number, since it uses less digits than its factorization.

1330013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1330013220 is about 36469.3463061788. The cubic root of 1330013220 is about 1099.7280925727.

Adding to 1330013220 its reverse (223100331), we get a palindrome (1553113551).

The spelling of 1330013220 in words is "one billion, three hundred thirty million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 191 215 258 382 430 516 573 645 764 860 955 1146 1290 1910 2292 2580 2699 2865 3820 5398 5730 8097 8213 10796 11460 13495 16194 16426 24639 26990 32388 32852 40485 41065 49278 53980 80970 82130 98556 116057 123195 161940 164260 232114 246390 348171 464228 492780 515509 580285 696342 1031018 1160570 1392684 1546527 1740855 2062036 2321140 2577545 3093054 3481710 5155090 6186108 6963420 7732635 10310180 15465270 22166887 30930540 44333774 66500661 88667548 110834435 133001322 221668870 266002644 332503305 443337740 665006610 1330013220