Search a number
-
+
80142000 = 2435319237
BaseRepresentation
bin1001100011011…
…01111010110000
312120210122011020
410301231322300
5131004021000
611541415440
71662124101
oct461557260
9176718136
1080142000
1141268964
1222a0a580
13137acc03
14a9023a8
157080ba0
hex4c6deb0

80142000 has 240 divisors, whose sum is σ = 280062432. Its totient is φ = 19699200.

The previous prime is 80141987. The next prime is 80142011. The reversal of 80142000 is 24108.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2165982 + ... + 2166018.

Almost surely, 280142000 is an apocalyptic number.

80142000 is a gapful number since it is divisible by the number (80) 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 80142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140031216).

80142000 is an abundant number, since it is smaller than the sum of its proper divisors (199920432).

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

80142000 is a wasteful number, since it uses less digits than its factorization.

80142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 80142000 is about 8952.2064319362. The cubic root of 80142000 is about 431.1417287529.

Adding to 80142000 its reverse (24108), we get a palindrome (80166108).

The spelling of 80142000 in words is "eighty million, one hundred forty-two thousand".