Search a number
-
+
143982000 = 24325319421
BaseRepresentation
bin10001001010011…
…11110110110000
3101000221001011200
420211033312300
5243324411000
622142011200
73365553411
oct1045176660
9330831150
10143982000
1174301898
1240276b00
1323aa2966
141519d808
15c991500
hex894fdb0

143982000 has 240 divisors, whose sum is σ = 530605920. Its totient is φ = 36288000.

The previous prime is 143981987. The next prime is 143982049. The reversal of 143982000 is 289341.

143982000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 341790 + ... + 342210.

It is an arithmetic number, because the mean of its divisors is an integer number (2210858).

Almost surely, 2143982000 is an apocalyptic number.

143982000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

143982000 is the 6000-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265302960).

143982000 is an abundant number, since it is smaller than the sum of its proper divisors (386623920).

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

143982000 is a wasteful number, since it uses less digits than its factorization.

143982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 143982000 is about 11999.2499765610. The cubic root of 143982000 is about 524.1264384201.

The spelling of 143982000 in words is "one hundred forty-three million, nine hundred eighty-two thousand".