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1315931568 = 243723473623
BaseRepresentation
bin100111001101111…
…1000010110110000
310101201011020202020
41032123320112300
510143334302233
6334324551440
744416143120
oct11633702660
93351136666
101315931568
11615899956
12308852580
1317c825643
14c6aaac80
157a7da9b3
hex4e6f85b0

1315931568 has 160 divisors (see below), whose sum is σ = 4141449216. Its totient is φ = 351884544.

The previous prime is 1315931543. The next prime is 1315931569. The reversal of 1315931568 is 8651395131.

1315931568 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1315931569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361405 + ... + 365027.

Almost surely, 21315931568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315931568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070724608).

1315931568 is an abundant number, since it is smaller than the sum of its proper divisors (2825517648).

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

1315931568 is a wasteful number, since it uses less digits than its factorization.

1315931568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3705 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 1315931568 is about 36275.7710876006. The cubic root of 1315931568 is about 1095.8331525368.

The spelling of 1315931568 in words is "one billion, three hundred fifteen million, nine hundred thirty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 47 48 56 69 84 92 94 112 138 141 161 168 184 188 276 282 322 329 336 368 376 483 552 564 644 658 752 966 987 1081 1104 1128 1288 1316 1932 1974 2162 2256 2576 2632 3243 3623 3864 3948 4324 5264 6486 7246 7567 7728 7896 8648 10869 12972 14492 15134 15792 17296 21738 22701 25361 25944 28984 30268 43476 45402 50722 51888 57968 60536 76083 83329 86952 90804 101444 121072 152166 166658 170281 173904 181608 202888 249987 304332 333316 340562 363216 405776 499974 510843 583303 608664 666632 681124 999948 1021686 1166606 1191967 1217328 1333264 1362248 1749909 1999896 2043372 2333212 2383934 2724496 3499818 3575901 3916463 3999792 4086744 4666424 4767868 6999636 7151802 7832926 8173488 9332848 9535736 11749389 13999272 14303604 15665852 19071472 23498778 27415241 27998544 28607208 31331704 46997556 54830482 57214416 62663408 82245723 93995112 109660964 164491446 187990224 219321928 328982892 438643856 657965784 1315931568