Search a number
-
+
31143660 = 223517191607
BaseRepresentation
bin111011011001…
…1011011101100
32011121021001220
41312303123230
530433044120
63031303340
7525500562
oct166633354
964537056
1031143660
1116641769
12a51ab50
1365b5702
1441c9a32
152b02b40
hex1db36ec

31143660 has 96 divisors (see below), whose sum is σ = 97251840. Its totient is φ = 7400448.

The previous prime is 31143613. The next prime is 31143667. The reversal of 31143660 is 6634113.

It is a self number, because there is not a number n which added to its sum of digits gives 31143660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31143667) 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, 18577 + ... + 20183.

It is an arithmetic number, because the mean of its divisors is an integer number (1013040).

Almost surely, 231143660 is an apocalyptic number.

31143660 is a gapful number since it is divisible by the number (30) 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 31143660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48625920).

31143660 is an abundant number, since it is smaller than the sum of its proper divisors (66108180).

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

31143660 is a wasteful number, since it uses less digits than its factorization.

31143660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 31143660 is about 5580.6504997178. The cubic root of 31143660 is about 314.6225764336.

Adding to 31143660 its reverse (6634113), we get a palindrome (37777773).

The spelling of 31143660 in words is "thirty-one million, one hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1607 1615 1938 3214 3230 3876 4821 4845 6428 6460 8035 9642 9690 16070 19284 19380 24105 27319 30533 32140 48210 54638 61066 81957 91599 96420 109276 122132 136595 152665 163914 183198 273190 305330 327828 366396 409785 457995 519061 546380 610660 819570 915990 1038122 1557183 1639140 1831980 2076244 2595305 3114366 5190610 6228732 7785915 10381220 15571830 31143660