Search a number
-
+
131342000 = 2453173863
BaseRepresentation
bin1111101010000…
…01111010110000
3100011010212100112
413311001322300
5232110421000
621011040452
73153250166
oct765017260
9304125315
10131342000
1168159209
1237ba0128
132129857a
141362d236
15b7e6235
hex7d41eb0

131342000 has 80 divisors (see below), whose sum is σ = 336353472. Its totient is φ = 49433600.

The previous prime is 131341981. The next prime is 131342011. The reversal of 131342000 is 243131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32069 + ... + 35931.

Almost surely, 2131342000 is an apocalyptic number.

131342000 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 131342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176736).

131342000 is an abundant number, since it is smaller than the sum of its proper divisors (205011472).

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

131342000 is a wasteful number, since it uses less digits than its factorization.

131342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131342000 is about 11460.4537431988. The cubic root of 131342000 is about 508.3168915820.

Adding to 131342000 its reverse (243131), we get a palindrome (131585131).

The spelling of 131342000 in words is "one hundred thirty-one million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 3863 4250 6800 7726 8500 15452 17000 19315 30904 34000 38630 61808 65671 77260 96575 131342 154520 193150 262684 309040 328355 386300 482875 525368 656710 772600 965750 1050736 1313420 1545200 1641775 1931500 2626840 3283550 3863000 5253680 6567100 7726000 8208875 13134200 16417750 26268400 32835500 65671000 131342000