Search a number
-
+
1302443120 = 245113114759
BaseRepresentation
bin100110110100001…
…1011010001110000
310100202202222002002
41031220123101300
510131411134440
6333123513132
744163404156
oct11550332160
93322688062
101302443120
11609216880
123042287a8
13179ab2004
14c4d993d6
1579524115
hex4da1b470

1302443120 has 80 divisors (see below), whose sum is σ = 3314787840. Its totient is φ = 471993600.

The previous prime is 1302443111. The next prime is 1302443161. The reversal of 1302443120 is 213442031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1302443092 and 1302443101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271301 + ... + 276059.

It is an arithmetic number, because the mean of its divisors is an integer number (41434848).

Almost surely, 21302443120 is an apocalyptic number.

1302443120 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 1302443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657393920).

1302443120 is an abundant number, since it is smaller than the sum of its proper divisors (2012344720).

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

1302443120 is a wasteful number, since it uses less digits than its factorization.

1302443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1302443120 is about 36089.3768303084. The cubic root of 1302443120 is about 1092.0761484912.

1302443120 divided by its sum of digits (20) gives a palindrome (65122156).

Adding to 1302443120 its reverse (213442031), we get a palindrome (1515885151).

The spelling of 1302443120 in words is "one billion, three hundred two million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 311 440 622 880 1244 1555 2488 3110 3421 4759 4976 6220 6842 9518 12440 13684 17105 19036 23795 24880 27368 34210 38072 47590 52349 54736 68420 76144 95180 104698 136840 190360 209396 261745 273680 380720 418792 523490 837584 1046980 1480049 2093960 2960098 4187920 5920196 7400245 11840392 14800490 16280539 23680784 29600980 32561078 59201960 65122156 81402695 118403920 130244312 162805390 260488624 325610780 651221560 1302443120