Search a number
-
+
1316830284 = 223471152783
BaseRepresentation
bin100111001111101…
…0011110001001100
310101202211220120000
41032133103301030
510144102032114
6334400124300
744426605230
oct11637236114
93352756500
101316830284
116163530a0
12309006690
1317ca7b723
14c6c625c0
157a916e09
hex4e7d3c4c

1316830284 has 120 divisors (see below), whose sum is σ = 4291972608. Its totient is φ = 342027360.

The previous prime is 1316830279. The next prime is 1316830297. The reversal of 1316830284 is 4820386131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1444 + ... + 51339.

Almost surely, 21316830284 is an apocalyptic number.

1316830284 is a gapful number since it is divisible by the number (14) 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 1316830284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145986304).

1316830284 is an abundant number, since it is smaller than the sum of its proper divisors (2975142324).

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

1316830284 is a wasteful number, since it uses less digits than its factorization.

1316830284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52817 (or 52806 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1316830284 is about 36288.1562496636. The cubic root of 1316830284 is about 1096.0825623331.

The spelling of 1316830284 in words is "one billion, three hundred sixteen million, eight hundred thirty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 24948 52783 105566 158349 211132 316698 369481 475047 580613 633396 738962 950094 1108443 1161226 1425141 1477924 1741839 1900188 2216886 2322452 2850282 3325329 3483678 4064291 4275423 4433772 5225517 5700564 6650658 6967356 8128582 8550846 9975987 10451034 12192873 13301316 15676551 16257164 17101692 19951974 20902068 24385746 29927961 31353102 36578619 39903948 47029653 48771492 59855922 62706204 73157238 94059306 109735857 119711844 146314476 188118612 219471714 329207571 438943428 658415142 1316830284