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1316857360 = 245721325841
BaseRepresentation
bin100111001111101…
…1010011000010000
310101202220021200211
41032133122120100
510144103413420
6334400453504
744430050200
oct11637323020
93352807624
101316857360
11616371475
1230901a294
1317ca8ab50
14c6c6c400
157a91ee5a
hex4e7da610

1316857360 has 120 divisors (see below), whose sum is σ = 3835676376. Its totient is φ = 416747520.

The previous prime is 1316857319. The next prime is 1316857379. The reversal of 1316857360 is 637586131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 1316818944 = 196^2 + 36288^2 .

It is a super-2 number, since 2×13168573602 = 3468226613172339200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38040 + ... + 63880.

Almost surely, 21316857360 is an apocalyptic number.

1316857360 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 1316857360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917838188).

1316857360 is an abundant number, since it is smaller than the sum of its proper divisors (2518819016).

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

1316857360 is a wasteful number, since it uses less digits than its factorization.

1316857360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25881 (or 25868 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1316857360 is about 36288.5293171272. The cubic root of 1316857360 is about 1096.0900746472.

The spelling of 1316857360 in words is "one billion, three hundred sixteen million, eight hundred fifty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 637 728 784 910 980 1040 1274 1456 1820 1960 2548 3185 3640 3920 5096 6370 7280 10192 12740 25480 25841 50960 51682 103364 129205 180887 206728 258410 335933 361774 413456 516820 671866 723548 904435 1033640 1266209 1343732 1447096 1679665 1808870 2067280 2351531 2532418 2687464 2894192 3359330 3617740 4703062 5064836 5374928 6331045 6718660 7235480 9406124 10129672 11757655 12662090 13437320 14470960 16460717 18812248 20259344 23515310 25324180 26874640 32921434 37624496 47030620 50648360 65842868 82303585 94061240 101296720 131685736 164607170 188122480 263371472 329214340 658428680 1316857360