Search a number
-
+
1312986840 = 2335111758511
BaseRepresentation
bin100111001000010…
…1001011011011000
310101111121122100020
41032100221123120
510142111034330
6334141510440
744352126654
oct11620513330
93344548306
101312986840
116141684a0
12307872420
1317c0341b9
14c6541a64
157a408210
hex4e4296d8

1312986840 has 128 divisors (see below), whose sum is σ = 4549893120. Its totient is φ = 299571200.

The previous prime is 1312986797. The next prime is 1312986853. The reversal of 1312986840 is 486892131.

It is a junction number, because it is equal to n+sod(n) for n = 1312986792 and 1312986801.

It is a congruent number.

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, 6816 + ... + 51695.

It is an arithmetic number, because the mean of its divisors is an integer number (35546040).

Almost surely, 21312986840 is an apocalyptic number.

1312986840 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 1312986840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274946560).

1312986840 is an abundant number, since it is smaller than the sum of its proper divisors (3236906280).

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

1312986840 is a wasteful number, since it uses less digits than its factorization.

1312986840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58553 (or 58549 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1312986840 is about 36235.1602728620. The cubic root of 1312986840 is about 1095.0151412597.

The spelling of 1312986840 in words is "one billion, three hundred twelve million, nine hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 58511 117022 175533 234044 292555 351066 468088 585110 643621 702132 877665 994687 1170220 1287242 1404264 1755330 1930863 1989374 2340440 2574484 2984061 3218105 3510660 3861726 3978748 4973435 5148968 5968122 6436210 7021320 7723452 7957496 9654315 9946870 10941557 11936244 12872420 14920305 15446904 19308630 19893740 21883114 23872488 25744840 29840610 32824671 38617260 39787480 43766228 54707785 59681220 65649342 77234520 87532456 109415570 119362440 131298684 164123355 218831140 262597368 328246710 437662280 656493420 1312986840