Search a number
-
+
31130160 = 2435151859
BaseRepresentation
bin111011011000…
…0001000110000
32011120120112220
41312300020300
530432131120
63031121040
7525413325
oct166601060
964516486
1031130160
1116632606
12a513180
1365ac519
1441c4b4c
152aedb40
hex1db0230

31130160 has 80 divisors (see below), whose sum is σ = 97255680. Its totient is φ = 8236800.

The previous prime is 31130149. The next prime is 31130161. The reversal of 31130160 is 6103113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (31130161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35811 + ... + 36669.

It is an arithmetic number, because the mean of its divisors is an integer number (1215696).

Almost surely, 231130160 is an apocalyptic number.

31130160 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 31130160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48627840).

31130160 is an abundant number, since it is smaller than the sum of its proper divisors (66125520).

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

31130160 is a wasteful number, since it uses less digits than its factorization.

31130160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 31130160 is about 5579.4408321982. The cubic root of 31130160 is about 314.5771095163.

Adding to 31130160 its reverse (6103113), we get a palindrome (37233273).

The spelling of 31130160 in words is "thirty-one million, one hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 859 906 1208 1510 1718 1812 2265 2416 2577 3020 3436 3624 4295 4530 5154 6040 6872 7248 8590 9060 10308 12080 12885 13744 17180 18120 20616 25770 34360 36240 41232 51540 68720 103080 129709 206160 259418 389127 518836 648545 778254 1037672 1297090 1556508 1945635 2075344 2594180 3113016 3891270 5188360 6226032 7782540 10376720 15565080 31130160