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315117132 = 2231129263313
BaseRepresentation
bin10010110010000…
…100111001001100
3210221221121102220
4102302010321030
51121132222012
651134015340
710544310561
oct2262047114
9727847386
10315117132
1115196a190
1289647550
1350391855
142dbca868
151c9e808c
hex12c84e4c

315117132 has 96 divisors (see below), whose sum is σ = 835591680. Its totient is φ = 91553280.

The previous prime is 315117113. The next prime is 315117133. The reversal of 315117132 is 231711513.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (315117133) 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, 1006608 + ... + 1006920.

It is an arithmetic number, because the mean of its divisors is an integer number (8704080).

Almost surely, 2315117132 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 315117132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417795840).

315117132 is an abundant number, since it is smaller than the sum of its proper divisors (520474548).

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

315117132 is a wasteful number, since it uses less digits than its factorization.

315117132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 621 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 315117132 is about 17751.5388628705. The cubic root of 315117132 is about 680.4935373259.

Adding to 315117132 its reverse (231711513), we get a palindrome (546828645).

The spelling of 315117132 in words is "three hundred fifteen million, one hundred seventeen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 263 313 319 348 526 626 638 789 939 957 1052 1252 1276 1578 1878 1914 2893 3156 3443 3756 3828 5786 6886 7627 8679 9077 10329 11572 13772 15254 17358 18154 20658 22881 27231 30508 34716 36308 41316 45762 54462 82319 83897 91524 99847 108924 164638 167794 199694 246957 251691 299541 329276 335588 399388 493914 503382 599082 905509 987828 1006764 1198164 1811018 2387251 2716527 3622036 4774502 5433054 7161753 9549004 10866108 14323506 26259761 28647012 52519522 78779283 105039044 157558566 315117132