Search a number
-
+
1301319990 = 232523976481
BaseRepresentation
bin100110110010000…
…1001000100110110
310100200122220102200
41031210021010312
510131114214430
6333043445330
744151015555
oct11544110466
93320586380
101301319990
11608619a73
12303986846
131797aaa39
14c4b85d9c
15793a1460
hex4d909136

1301319990 has 96 divisors (see below), whose sum is σ = 3567485376. Its totient is φ = 328458240.

The previous prime is 1301319947. The next prime is 1301320003. The reversal of 1301319990 is 999131031.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 197550 + ... + 204030.

It is an arithmetic number, because the mean of its divisors is an integer number (37161306).

Almost surely, 21301319990 is an apocalyptic number.

1301319990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301319990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783742688).

1301319990 is an abundant number, since it is smaller than the sum of its proper divisors (2266165386).

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

1301319990 is a wasteful number, since it uses less digits than its factorization.

1301319990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

The square root of 1301319990 is about 36073.8130781873. The cubic root of 1301319990 is about 1091.7621498235.

The spelling of 1301319990 in words is "one billion, three hundred one million, three hundred nineteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 97 115 138 194 207 230 291 345 414 485 582 690 873 970 1035 1455 1746 2070 2231 2910 4365 4462 6481 6693 8730 11155 12962 13386 19443 20079 22310 32405 33465 38886 40158 58329 64810 66930 97215 100395 116658 149063 194430 200790 291645 298126 447189 583290 628657 745315 894378 1257314 1341567 1490630 1885971 2235945 2683134 3143285 3771942 4471890 5657913 6286570 6707835 9429855 11315826 13415670 14459111 18859710 28289565 28918222 43377333 56579130 72295555 86754666 130131999 144591110 216886665 260263998 433773330 650659995 1301319990